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Author: Valya Mitrjushkin
Publisher: Springer Science & Business Media
ISBN: 940114124X
Category : Science
Languages : en
Pages : 377
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Book Description
Among the key problems in modern field theory are the formulation of chiral group theories on the lattice and the quantitative understanding of the quark confinement mechanism. The two topics are closely related by the fact that the chiral nature of the fermions as well as the confinement force are largely topological in origin. Recent advances in this field are here reviewed by some of the world's experts.
Author: Valya Mitrjushkin
Publisher: Springer Science & Business Media
ISBN: 940114124X
Category : Science
Languages : en
Pages : 377
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Book Description
Among the key problems in modern field theory are the formulation of chiral group theories on the lattice and the quantitative understanding of the quark confinement mechanism. The two topics are closely related by the fact that the chiral nature of the fermions as well as the confinement force are largely topological in origin. Recent advances in this field are here reviewed by some of the world's experts.
Author: Andreas Wipf
Publisher: Springer Nature
ISBN: 3030832635
Category : Science
Languages : en
Pages : 568
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Book Description
This new expanded second edition has been totally revised and corrected. The reader finds two complete new chapters. One covers the exact solution of the finite temperature Schwinger model with periodic boundary conditions. This simple model supports instanton solutions – similarly as QCD – and allows for a detailed discussion of topological sectors in gauge theories, the anomaly-induced breaking of chiral symmetry and the intriguing role of fermionic zero modes. The other new chapter is devoted to interacting fermions at finite fermion density and finite temperature. Such low-dimensional models are used to describe long-energy properties of Dirac-type materials in condensed matter physics. The large-N solutions of the Gross-Neveu, Nambu-Jona-Lasinio and Thirring models are presented in great detail, where N denotes the number of fermion flavors. Towards the end of the book corrections to the large-N solution and simulation results of a finite number of fermion flavors are presented. Further problems are added at the end of each chapter in order to guide the reader to a deeper understanding of the presented topics. This book is meant for advanced students and young researchers who want to acquire the necessary tools and experience to produce research results in the statistical approach to Quantum Field Theory.
Author: Jeff Paul Greensite
Publisher: Springer Science & Business Media
ISBN: 9781402008733
Category : Science
Languages : en
Pages : 350
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Book Description
The problem of quark confinement is one of the classic unsolved problems of particle physics and is fundamental to our understanding of the physics of the strong interaction and the behaviour of non-Abelian gauge theories in general. The confinement problem is also are area in which concepts from topology and techniques of computational physics both find important applications. This volume contains a snapshot of current research in this field as of January 2002. Particular emphasis is placed on the role of topological field configurations such as centre vortices and monopoles in proposed confinement mechanisms. Other topics covered include colour superconductivity, instantons and chiral symmetry breaking, matrix models and the construction of chiral gauge theories. Readership: Research scientists and graduate students of high energy physics and nuclear physics.
Author: Frithjof Karsch
Publisher: World Scientific
ISBN: 9814555363
Category :
Languages : en
Pages : 262
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Book Description
Novel Monte Carlo Algorithms for Fermionic Systems are badly needed in high energy and solid state physics. At this workshop the newest developments in this direction were presented, in particular those concerning multi-grid techniques, cluster algorithms and massively parallel implementations.
Author: Hideo Suganuma
Publisher: World Scientific
ISBN: 9789810246631
Category : Science
Languages : en
Pages : 428
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Book Description
The quark confinement mechanism is one of the most difficult problems in particle physics, and is listed as the 7 difficult mathematical problems of the new millennium. The first person who first solves this problem will be awarded a prize of US$ 1 Million by Cray Mathematics Institute. This volume is useful for the systematic understanding of quark confinement and nonperturbative aspects of quantum chromodynamics (QCD) from the wide viewpoints of mathematical physics, lattice QCD physics and quark-hadron physics. It covers the current studies of nonperturbative QCD: quark confinement mechanism; topologies in QCD (instantons, monopoles and vortices); BRS quartet mechanism for color confinement; lattice QCD calculations for quarks, gluons and hadrons; dynamical chiral symmetry breaking and hadrons.
Author: Hideo Suganuma
Publisher: World Scientific
ISBN: 9814542636
Category : Science
Languages : en
Pages : 426
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Book Description
The quark confinement mechanism is one of the most difficult problems in particle physics, and is listed as the 7 difficult mathematical problems of the new millennium. The first person who first solves this problem will be awarded a prize of US$ 1 Million by Cray Mathematics Institute. This volume is useful for the systematic understanding of quark confinement and nonperturbative aspects of quantum chromodynamics (QCD) from the wide viewpoints of mathematical physics, lattice QCD physics and quark-hadron physics. It covers the current studies of nonperturbative QCD: quark confinement mechanism; topologies in QCD (instantons, monopoles and vortices); BRS quartet mechanism for color confinement; lattice QCD calculations for quarks, gluons and hadrons; dynamical chiral symmetry breaking and hadrons.
Author: Andreas W Schreiber
Publisher: World Scientific
ISBN: 9814542849
Category :
Languages : en
Pages : 325
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Book Description
This volume contains the proceedings of the 'Workshop on Lightcone QCD and Nonperturbative Hadron Physics', held in Adelaide, Australia, in December 1999. The contributions include papers on vacuum structure and zero modes, DLCQ, deep inelastic scattering, lightcone wavefunctions and hadron structure, hadron phenomenology, as well as numerical results from the lattice for both quenched and unquenched QCD.
Author: T. Gherghetta
Publisher: World Scientific
ISBN: 9812560726
Category : Science
Languages : en
Pages : 603
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Book Description
This book contains articles on the latest research in QCD from some of the leading experts in the field. These are based on talks presented at the Continuous Advances in QCD 2004 workshop held at the William I Fine Theoretical Physics Institute.The book will be a useful reference source for graduate students and researchers in high energy physics.The proceedings have been selected for coverage in: ? Index to Scientific & Technical Proceedings? (ISTP? / ISI Proceedings)? Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)? CC Proceedings ? Engineering & Physical Sciences
Author: Gerhard Grensing
Publisher: World Scientific
ISBN: 9811237093
Category : Science
Languages : en
Pages : 1656
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Book Description
The book is devoted to the subject of quantum field theory. It is divided into two volumes. The first volume can serve as a textbook on main techniques and results of quantum field theory, while the second treats more recent developments, in particular the subject of quantum groups and noncommutative geometry, and their interrelation.The second edition is extended by additional material, mostly concerning the impact of noncommutative geometry on theories beyond the standard model of particle physics, especially the possible role of torsion in the context of the dark matter problem. Furthermore, the text includes a discussion of the Randall-Sundrum model and the Seiberg-Witten equations.
Author: Hildegard Meyer-ortmanns
Publisher: World Scientific
ISBN: 9814496278
Category : Science
Languages : en
Pages : 702
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Book Description
The phase structure of particle physics shows up in matter at extremely high densities and/or temperatures as they were reached in the early universe, shortly after the big bang, or in heavy-ion collisions, as they are performed nowadays in laboratory experiments. In contrast to phase transitions of condensed matter physics, the underlying fundamental theories are better known than their macroscopic manifestations in phase transitions. These theories are quantum chromodynamics for the strong interaction part and the electroweak part of the Standard Model for the electroweak interaction. It is their non-Abelian gauge structure that makes it a big challenge to predict the type of phase conversion between phases of different symmetries and different particle contents. The book is about a variety of analytical and numerical tools that are needed to study the phase structure of particle physics. To these belong convergent and asymptotic expansions in strong and weak couplings, dimensional reduction, renormalization group studies, gap equations, Monte Carlo simulations with and without fermions, finite-size and finite-mass scaling analyses, and the approach of effective actions as supplement to first-principle calculations.
