Author: Jeff Greensite
Publisher: Springer Nature
ISBN: 303051563X
Category : Science
Languages : en
Pages : 273
Book Description
This book addresses the confinement problem, which concerns the behavior of non-abelian gauge theories, and the force which is mediated by gauge fields, at large distances. The word “confinement” in the context of hadronic physics originally referred to the fact that quarks and gluons appear to be trapped inside mesons and baryons, from which they cannot escape. There are other, and possibly deeper meanings that can be attached to the term, and these will be explored in this book. Although the confinement problem is far from solved, much is now known about the general features of the confining force, and there are a number of very well motivated theories of confinement which are under active investigation. This volume gives a both pedagogical and concise introduction and overview of the main ideas in this field, their attractive features, and, as appropriate, their shortcomings. This second edition summarizes some of the developments in this area which have occurred since the first edition of this book appeared in 2011. These include new results in the caloron/dyon picture of confinement, in functional approaches, and in studies of the Yang-Mills vacuum wave functional. Special attention, in two new chapters, is given to recent numerical investigations of the center vortex theory, and to the varieties of confinement which may exist in gauge-Higgs theories. Reviews of the first edition: “This is indeed a very good book. I enjoyed reading it and... I learned a lot from it.... It is definitely a research book that provides readers with a guide to the most updated confinement models.” (Giuseppe Nardelli, Mathematical Reviews, Issue 2012 d) “The book is beautifully produced with special emphasis on the relevance of center symmetry and lattice formulation as well as an introduction to current research on confinement.” (Paninjukunnath Achuthan, Zentralblatt MATH, Vol. 1217, 2011)
An Introduction to the Confinement Problem
Author: Jeff Greensite
Publisher: Springer Nature
ISBN: 303051563X
Category : Science
Languages : en
Pages : 273
Book Description
This book addresses the confinement problem, which concerns the behavior of non-abelian gauge theories, and the force which is mediated by gauge fields, at large distances. The word “confinement” in the context of hadronic physics originally referred to the fact that quarks and gluons appear to be trapped inside mesons and baryons, from which they cannot escape. There are other, and possibly deeper meanings that can be attached to the term, and these will be explored in this book. Although the confinement problem is far from solved, much is now known about the general features of the confining force, and there are a number of very well motivated theories of confinement which are under active investigation. This volume gives a both pedagogical and concise introduction and overview of the main ideas in this field, their attractive features, and, as appropriate, their shortcomings. This second edition summarizes some of the developments in this area which have occurred since the first edition of this book appeared in 2011. These include new results in the caloron/dyon picture of confinement, in functional approaches, and in studies of the Yang-Mills vacuum wave functional. Special attention, in two new chapters, is given to recent numerical investigations of the center vortex theory, and to the varieties of confinement which may exist in gauge-Higgs theories. Reviews of the first edition: “This is indeed a very good book. I enjoyed reading it and... I learned a lot from it.... It is definitely a research book that provides readers with a guide to the most updated confinement models.” (Giuseppe Nardelli, Mathematical Reviews, Issue 2012 d) “The book is beautifully produced with special emphasis on the relevance of center symmetry and lattice formulation as well as an introduction to current research on confinement.” (Paninjukunnath Achuthan, Zentralblatt MATH, Vol. 1217, 2011)
Publisher: Springer Nature
ISBN: 303051563X
Category : Science
Languages : en
Pages : 273
Book Description
This book addresses the confinement problem, which concerns the behavior of non-abelian gauge theories, and the force which is mediated by gauge fields, at large distances. The word “confinement” in the context of hadronic physics originally referred to the fact that quarks and gluons appear to be trapped inside mesons and baryons, from which they cannot escape. There are other, and possibly deeper meanings that can be attached to the term, and these will be explored in this book. Although the confinement problem is far from solved, much is now known about the general features of the confining force, and there are a number of very well motivated theories of confinement which are under active investigation. This volume gives a both pedagogical and concise introduction and overview of the main ideas in this field, their attractive features, and, as appropriate, their shortcomings. This second edition summarizes some of the developments in this area which have occurred since the first edition of this book appeared in 2011. These include new results in the caloron/dyon picture of confinement, in functional approaches, and in studies of the Yang-Mills vacuum wave functional. Special attention, in two new chapters, is given to recent numerical investigations of the center vortex theory, and to the varieties of confinement which may exist in gauge-Higgs theories. Reviews of the first edition: “This is indeed a very good book. I enjoyed reading it and... I learned a lot from it.... It is definitely a research book that provides readers with a guide to the most updated confinement models.” (Giuseppe Nardelli, Mathematical Reviews, Issue 2012 d) “The book is beautifully produced with special emphasis on the relevance of center symmetry and lattice formulation as well as an introduction to current research on confinement.” (Paninjukunnath Achuthan, Zentralblatt MATH, Vol. 1217, 2011)
Fusion
Author: Weston M. Stacey
Publisher: John Wiley & Sons
ISBN: 9783527629329
Category : Science
Languages : en
Pages : 262
Book Description
This second edition of a popular textbook is thoroughly revised with around 25% new and updated content. It provides an introduction to both plasma physics and fusion technology at a level that can be understood by advanced undergraduates and graduate students in the physical sciences and related engineering disciplines. As such, the contents cover various plasma confinement concepts, the support technologies needed to confine the plasma, and the designs of ITER as well as future fusion reactors. With end of chapter problems for use in courses.
Publisher: John Wiley & Sons
ISBN: 9783527629329
Category : Science
Languages : en
Pages : 262
Book Description
This second edition of a popular textbook is thoroughly revised with around 25% new and updated content. It provides an introduction to both plasma physics and fusion technology at a level that can be understood by advanced undergraduates and graduate students in the physical sciences and related engineering disciplines. As such, the contents cover various plasma confinement concepts, the support technologies needed to confine the plasma, and the designs of ITER as well as future fusion reactors. With end of chapter problems for use in courses.
Nonlinear Dynamics and Chaotic Phenomena: An Introduction
Author: Bhimsen K. Shivamoggi
Publisher: Springer
ISBN: 9400770944
Category : Technology & Engineering
Languages : en
Pages : 396
Book Description
This book starts with a discussion of nonlinear ordinary differential equations, bifurcation theory and Hamiltonian dynamics. It then embarks on a systematic discussion of the traditional topics of modern nonlinear dynamics -- integrable systems, Poincaré maps, chaos, fractals and strange attractors. The Baker’s transformation, the logistic map and Lorenz system are discussed in detail in view of their central place in the subject. There is a detailed discussion of solitons centered around the Korteweg-deVries equation in view of its central place in integrable systems. Then, there is a discussion of the Painlevé property of nonlinear differential equations which seems to provide a test of integrability. Finally, there is a detailed discussion of the application of fractals and multi-fractals to fully-developed turbulence -- a problem whose understanding has been considerably enriched by the application of the concepts and methods of modern nonlinear dynamics. On the application side, there is a special emphasis on some aspects of fluid dynamics and plasma physics reflecting the author’s involvement in these areas of physics. A few exercises have been provided that range from simple applications to occasional considerable extension of the theory. Finally, the list of references given at the end of the book contains primarily books and papers used in developing the lecture material this volume is based on. This book has grown out of the author’s lecture notes for an interdisciplinary graduate-level course on nonlinear dynamics. The basic concepts, language and results of nonlinear dynamical systems are described in a clear and coherent way. In order to allow for an interdisciplinary readership, an informal style has been adopted and the mathematical formalism has been kept to a minimum. This book is addressed to first-year graduate students in applied mathematics, physics, and engineering, and is useful also to any theoretically inclined researcher in the physical sciences and engineering. This second edition constitutes an extensive rewrite of the text involving refinement and enhancement of the clarity and precision, updating and amplification of several sections, addition of new material like theory of nonlinear differential equations, solitons, Lagrangian chaos in fluids, and critical phenomena perspectives on the fluid turbulence problem and many new exercises.
Publisher: Springer
ISBN: 9400770944
Category : Technology & Engineering
Languages : en
Pages : 396
Book Description
This book starts with a discussion of nonlinear ordinary differential equations, bifurcation theory and Hamiltonian dynamics. It then embarks on a systematic discussion of the traditional topics of modern nonlinear dynamics -- integrable systems, Poincaré maps, chaos, fractals and strange attractors. The Baker’s transformation, the logistic map and Lorenz system are discussed in detail in view of their central place in the subject. There is a detailed discussion of solitons centered around the Korteweg-deVries equation in view of its central place in integrable systems. Then, there is a discussion of the Painlevé property of nonlinear differential equations which seems to provide a test of integrability. Finally, there is a detailed discussion of the application of fractals and multi-fractals to fully-developed turbulence -- a problem whose understanding has been considerably enriched by the application of the concepts and methods of modern nonlinear dynamics. On the application side, there is a special emphasis on some aspects of fluid dynamics and plasma physics reflecting the author’s involvement in these areas of physics. A few exercises have been provided that range from simple applications to occasional considerable extension of the theory. Finally, the list of references given at the end of the book contains primarily books and papers used in developing the lecture material this volume is based on. This book has grown out of the author’s lecture notes for an interdisciplinary graduate-level course on nonlinear dynamics. The basic concepts, language and results of nonlinear dynamical systems are described in a clear and coherent way. In order to allow for an interdisciplinary readership, an informal style has been adopted and the mathematical formalism has been kept to a minimum. This book is addressed to first-year graduate students in applied mathematics, physics, and engineering, and is useful also to any theoretically inclined researcher in the physical sciences and engineering. This second edition constitutes an extensive rewrite of the text involving refinement and enhancement of the clarity and precision, updating and amplification of several sections, addition of new material like theory of nonlinear differential equations, solitons, Lagrangian chaos in fluids, and critical phenomena perspectives on the fluid turbulence problem and many new exercises.
Principles Of Fusion Energy: An Introduction To Fusion Energy For Students Of Science And Engineering
Author: Archie A Harms
Publisher: World Scientific Publishing Company
ISBN: 981310273X
Category : Science
Languages : en
Pages : 309
Book Description
This textbook accommodates the two divergent developmental paths which have become solidly established in the field of fusion energy: the process of sequential tokamak development toward a prototype and the need for a more fundamental and integrative research approach before costly design choices are made.Emphasis is placed on the development of physically coherent and mathematically clear characterizations of the scientific and technological foundations of fusion energy which are specifically suitable for a first course on the subject. Of interest, therefore, are selected aspects of nuclear physics, electromagnetics, plasma physics, reaction dynamics, materials science, and engineering systems, all brought together to form an integrated perspective on nuclear fusion and its practical utilization.The book identifies several distinct themes. The first is concerned with preliminary and introductory topics which relate to the basic and relevant physical processes associated with nuclear fusion. Then, the authors undertake an analysis of magnetically confined, inertially confined, and low-temperature fusion energy concepts. Subsequently, they introduce the important blanket domains surrounding the fusion core and discuss synergetic fusion-fission systems. Finally, they consider selected conceptual and technological subjects germane to the continuing development of fusion energy systems.
Publisher: World Scientific Publishing Company
ISBN: 981310273X
Category : Science
Languages : en
Pages : 309
Book Description
This textbook accommodates the two divergent developmental paths which have become solidly established in the field of fusion energy: the process of sequential tokamak development toward a prototype and the need for a more fundamental and integrative research approach before costly design choices are made.Emphasis is placed on the development of physically coherent and mathematically clear characterizations of the scientific and technological foundations of fusion energy which are specifically suitable for a first course on the subject. Of interest, therefore, are selected aspects of nuclear physics, electromagnetics, plasma physics, reaction dynamics, materials science, and engineering systems, all brought together to form an integrated perspective on nuclear fusion and its practical utilization.The book identifies several distinct themes. The first is concerned with preliminary and introductory topics which relate to the basic and relevant physical processes associated with nuclear fusion. Then, the authors undertake an analysis of magnetically confined, inertially confined, and low-temperature fusion energy concepts. Subsequently, they introduce the important blanket domains surrounding the fusion core and discuss synergetic fusion-fission systems. Finally, they consider selected conceptual and technological subjects germane to the continuing development of fusion energy systems.
Plasma Confinement
Author: R. D. Hazeltine
Publisher: Courier Corporation
ISBN: 0486151034
Category : Science
Languages : en
Pages : 484
Book Description
Graduate-level text examines the essential physics underlying international research in magnetic confinement fusion with accounts of fundamental concepts behind methods of confining plasma at or near thermonuclear conditions. 1992 edition.
Publisher: Courier Corporation
ISBN: 0486151034
Category : Science
Languages : en
Pages : 484
Book Description
Graduate-level text examines the essential physics underlying international research in magnetic confinement fusion with accounts of fundamental concepts behind methods of confining plasma at or near thermonuclear conditions. 1992 edition.
40 Years of Berezinskii-Kosterlitz-Thouless Theory
Author: Jorge V. Jos
Publisher: World Scientific
ISBN: 9814417645
Category : Science
Languages : en
Pages : 364
Book Description
This volume looks back at some of the developments and achievements and varied physics applications which ensued from the BKT vortex-unbinding seminal idea. During the last four decades, BKT theory, which is undeniably one of the most important developments in condensed matter and theoretical physics of the second half of the twentieth century, has expanded widely. It has been used and extended from many different theoretical and experimental perspectives.
Publisher: World Scientific
ISBN: 9814417645
Category : Science
Languages : en
Pages : 364
Book Description
This volume looks back at some of the developments and achievements and varied physics applications which ensued from the BKT vortex-unbinding seminal idea. During the last four decades, BKT theory, which is undeniably one of the most important developments in condensed matter and theoretical physics of the second half of the twentieth century, has expanded widely. It has been used and extended from many different theoretical and experimental perspectives.
Distribution of Energy Momentum Tensor around Static Charges in Lattice Simulations and an Effective Model
Author: Ryosuke Yanagihara
Publisher: Springer Nature
ISBN: 9811662347
Category : Science
Languages : en
Pages : 170
Book Description
The energy momentum tensor (EMT) is one of the most fundamental observables in physics. Recently, a novel method to define EMT on the basis of the gradient-flow formalism has been proposed. It turned out that the EMT operator can be constructed even on the lattice with the method, which enables non-perturbative computations. This approach has been successfully applied to the analyses on thermodynamic quantities. This book presents the study on spatial EMT distributions around static charges via the gradient flow in lattice simulations based on SU(3) Yang-Mills theory. Static charges are employed as probes to explore complex quantum systems, and EMT then characterizes the response of vacuum as well as hot medium under the existence of the charges, which significantly provides profound and novel insights into the non-perturbative phenomena, such as the confinement of quarks. In addition, the book treats the study on the EMT distribution around a magnetic vortex in the Abelian-Higgs model, which is compared with the lattice result. These achievements open up various future studies for revealing non-trivial aspects of the strong interaction. The book also includes well-organized reviews on general properties of EMT, lattice gauge theory and the gradient-flow formalism with its application to the definition of EMT. They are useful for students and young researchers as a brief introduction to this field.
Publisher: Springer Nature
ISBN: 9811662347
Category : Science
Languages : en
Pages : 170
Book Description
The energy momentum tensor (EMT) is one of the most fundamental observables in physics. Recently, a novel method to define EMT on the basis of the gradient-flow formalism has been proposed. It turned out that the EMT operator can be constructed even on the lattice with the method, which enables non-perturbative computations. This approach has been successfully applied to the analyses on thermodynamic quantities. This book presents the study on spatial EMT distributions around static charges via the gradient flow in lattice simulations based on SU(3) Yang-Mills theory. Static charges are employed as probes to explore complex quantum systems, and EMT then characterizes the response of vacuum as well as hot medium under the existence of the charges, which significantly provides profound and novel insights into the non-perturbative phenomena, such as the confinement of quarks. In addition, the book treats the study on the EMT distribution around a magnetic vortex in the Abelian-Higgs model, which is compared with the lattice result. These achievements open up various future studies for revealing non-trivial aspects of the strong interaction. The book also includes well-organized reviews on general properties of EMT, lattice gauge theory and the gradient-flow formalism with its application to the definition of EMT. They are useful for students and young researchers as a brief introduction to this field.
Mathematical Physics with Differential Equations
Author: Yisong Yang
Publisher: Oxford University Press
ISBN: 019287263X
Category : Science
Languages : en
Pages : 593
Book Description
Traditional literature in mathematical physics is clustered around classical mechanics, especially fluids and elasticity. This book reflects the modern development of theoretical physics in the areas of field theories: classical, quantum, and gravitational, in which differential equations play essential roles and offer powerful insight. Yang here presents a broad range of fundamental topics in theoretical and mathematical physics based on the viewpoint of differential equations. The subject areas covered include classical and quantum many-body problems, thermodynamics, electromagnetism, magnetic monopoles, special relativity, gauge field theories, general relativity, superconductivity, vortices and other topological solitons, and canonical quantization of fields, for which knowledge and use of linear and nonlinear differential equations are essential for comprehension. Much emphasis is given to the mathematical and physical content offering an appreciation of the interplay of mathematics and theoretical physics from the viewpoint of differential equations. Advanced methods and techniques of modern nonlinear functional analysis are kept to a minimum and each chapter is supplemented with a collection of exercises of varied depths making it an ideal resource for students and researchers alike.
Publisher: Oxford University Press
ISBN: 019287263X
Category : Science
Languages : en
Pages : 593
Book Description
Traditional literature in mathematical physics is clustered around classical mechanics, especially fluids and elasticity. This book reflects the modern development of theoretical physics in the areas of field theories: classical, quantum, and gravitational, in which differential equations play essential roles and offer powerful insight. Yang here presents a broad range of fundamental topics in theoretical and mathematical physics based on the viewpoint of differential equations. The subject areas covered include classical and quantum many-body problems, thermodynamics, electromagnetism, magnetic monopoles, special relativity, gauge field theories, general relativity, superconductivity, vortices and other topological solitons, and canonical quantization of fields, for which knowledge and use of linear and nonlinear differential equations are essential for comprehension. Much emphasis is given to the mathematical and physical content offering an appreciation of the interplay of mathematics and theoretical physics from the viewpoint of differential equations. Advanced methods and techniques of modern nonlinear functional analysis are kept to a minimum and each chapter is supplemented with a collection of exercises of varied depths making it an ideal resource for students and researchers alike.
Plasma Physics
Author: Andreas Dinklage
Publisher: Springer Science & Business Media
ISBN: 9783540252740
Category : Science
Languages : en
Pages : 524
Book Description
Plasma Physics: Confinement, Transport and Collective Effects provides an overview of modern plasma research with special focus on confinement and related issues. Beginning with a broad introduction, the book leads graduate students and researchers – also those from related fields - to an understanding of the state-of-the-art in modern plasma physics. Furthermore, it presents a methodological cross section ranging from plasma applications and plasma diagnostics to numerical simulations, the latter providing an increasingly important link between theory and experiment. Effective references guide the reader from introductory texts through to contemporary research. Some related exercises in computational plasma physics are supplied on a special web site
Publisher: Springer Science & Business Media
ISBN: 9783540252740
Category : Science
Languages : en
Pages : 524
Book Description
Plasma Physics: Confinement, Transport and Collective Effects provides an overview of modern plasma research with special focus on confinement and related issues. Beginning with a broad introduction, the book leads graduate students and researchers – also those from related fields - to an understanding of the state-of-the-art in modern plasma physics. Furthermore, it presents a methodological cross section ranging from plasma applications and plasma diagnostics to numerical simulations, the latter providing an increasingly important link between theory and experiment. Effective references guide the reader from introductory texts through to contemporary research. Some related exercises in computational plasma physics are supplied on a special web site
Superinsulators, Bose Metals And High-tc Superconductors: The Quantum Physics Of Emergent Magnetic Monopoles
Author: Carlo A Trugenberger
Publisher: World Scientific
ISBN: 9811250979
Category : Science
Languages : en
Pages : 249
Book Description
In 1931 Dirac showed that topologically quantized single magnetic charges, magnetic monopoles, while classically forbidden in a gauge theory, are allowed alongside electric charges in a quantum theory of electromagnetism. Such topological magnetic excitations are indeed admitted in the spectrum of most grand unified field theories of elementary interactions. Despite 40 years of dedicated search efforts, nonetheless, they have never shown up in any experiment. This, however, does not preclude the possibility of topological magnetic monopoles being realized as excitations in emergent condensed matter states, where they would be much lighter and easier to create.This book is about the physical effects of such emergent magnetic monopoles. These range from a new mechanism for local, strong pairing of electrons possibly relevant for high-T superconductivity, to the formation of a new quantum phase of matter when monopoles condense. In such a condensate the electric interaction becomes extremely strong, so much so that only extended neutral states survive, with the consequence of an infinite resistance, even at finite temperatures. This state, called a superinsulator, is a dual superconductor and has been experimentally detected in various materials. In a superinsulator the electric interaction becomes analogous to the strong interaction holding quarks together in colour-neutral hadrons. Even more interesting is the case when the condensate carries both magnetic and electric charge. The ensuing state has properties that are strikingly reminiscent of the mysterious pseudogap state of high-T superconductors. Magnetic monopoles might thus have been hiding in plain sight where no one was looking for them for a long time.
Publisher: World Scientific
ISBN: 9811250979
Category : Science
Languages : en
Pages : 249
Book Description
In 1931 Dirac showed that topologically quantized single magnetic charges, magnetic monopoles, while classically forbidden in a gauge theory, are allowed alongside electric charges in a quantum theory of electromagnetism. Such topological magnetic excitations are indeed admitted in the spectrum of most grand unified field theories of elementary interactions. Despite 40 years of dedicated search efforts, nonetheless, they have never shown up in any experiment. This, however, does not preclude the possibility of topological magnetic monopoles being realized as excitations in emergent condensed matter states, where they would be much lighter and easier to create.This book is about the physical effects of such emergent magnetic monopoles. These range from a new mechanism for local, strong pairing of electrons possibly relevant for high-T superconductivity, to the formation of a new quantum phase of matter when monopoles condense. In such a condensate the electric interaction becomes extremely strong, so much so that only extended neutral states survive, with the consequence of an infinite resistance, even at finite temperatures. This state, called a superinsulator, is a dual superconductor and has been experimentally detected in various materials. In a superinsulator the electric interaction becomes analogous to the strong interaction holding quarks together in colour-neutral hadrons. Even more interesting is the case when the condensate carries both magnetic and electric charge. The ensuing state has properties that are strikingly reminiscent of the mysterious pseudogap state of high-T superconductors. Magnetic monopoles might thus have been hiding in plain sight where no one was looking for them for a long time.