Author: Adolf J. Schwab
Publisher: Springer Science & Business Media
ISBN: 3642489419
Category : Mathematics
Languages : en
Pages : 234
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Book Description
"Field Theory Concepts" is a new approach to the teaching and understanding of field theory. Exploiting formal analo- gies of electric, magnetic, and conduction fields and introducing generic concepts results in a transparently structured electomagnetic field theory. Highly illustrative terms alloweasyaccess to the concepts of curl and div which generally are conceptually demanding. Emphasis is placed on the static, quasistatic and dynamic nature of fields. Eventually, numerical field calculation algorithms, e.g. Finite Element method and Monte Carlo method, are presented in a concise yet illustrative manner.
Author: Anthony Duncan
Publisher: Oxford University Press
ISBN: 0191642207
Category : Science
Languages : en
Pages :
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Book Description
The book attempts to provide an introduction to quantum field theory emphasizing conceptual issues frequently neglected in more "utilitarian" treatments of the subject. The book is divided into four parts, entitled respectively "Origins", "Dynamics", "Symmetries", and "Scales". The emphasis is conceptual - the aim is to build the theory up systematically from some clearly stated foundational concepts - and therefore to a large extent anti-historical, but two historical Chapters ("Origins") are included to situate quantum field theory in the larger context of modern physical theories. The three remaining sections of the book follow a step by step reconstruction of this framework beginning with just a few basic assumptions: relativistic invariance, the basic principles of quantum mechanics, and the prohibition of physical action at a distance embodied in the clustering principle. The "Dynamics" section of the book lays out the basic structure of quantum field theory arising from the sequential insertion of quantum-mechanical, relativistic and locality constraints. The central role of symmetries in relativistic quantum field theories is explored in the third section of the book, while in the final section, entitled "Scales", we explore in detail the feature of quantum field theories most critical for their enormous phenomenological success - the scale separation property embodied by the renormalization group properties of a theory defined by an effective local Lagrangian.
Author: Victor Ilisie
Publisher: Springer
ISBN: 3319229664
Category : Science
Languages : en
Pages : 193
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Book Description
This book uses less strict yet still formal mathematical language to clarify a variety of concepts in Quantum Field Theory that remain somewhat “fuzzy” in many books designed for undergraduates and fresh graduates. The aim is not to replace formal books on Quantum Field Theory, but rather to offer a helpful complementary tool for beginners in the field. Features include a reader-friendly introduction to tensor calculus and the concept of manifolds; a simple and robust treatment for dimensional regularization; a consistent explanation of the renormalization procedure, step by step and in a transparent manner at all orders, using the QED Lagrangian; and extensive treatment of infrared as well as ultraviolet divergences. The most general (Lorentz invariant) form of Noether's theorem is presented and applied to a few simple yet relevant examples in Quantum Field Theory. These and further interesting topics are addressed in a way that will be accessible for the target readership. Some familiarity with basic notions of Quantum Field Theory and the basics of Special Relativity is assumed.
Author: Tian Yu Cao
Publisher: Cambridge University Press
ISBN: 9780521602723
Category : Science
Languages : en
Pages : 424
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Book Description
Multi-author volume on the history and philosophy of physics.
Author: James M. Cline
Publisher: Springer Nature
ISBN: 3030561682
Category : Science
Languages : en
Pages : 153
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Book Description
This book comprises the second half of a quantum field theory (QFT) course for graduate students. It gives a concise introduction to advanced concepts that are important for research in elementary particle theory. Topics include the path integral, loop expansion, Feynman rules, various regularization methods, renormalization, running couplings and the renormalization group, fixed points and asymptotic freedom, effective action, Coleman-Weinberg effective potential, fermions, the axial anomaly, QED, gauge fixing, nonabelian gauge theories, unitarity, optical theorem, Slavnov-Taylor identities, beta function of Yang-Mills theory, a heuristic derivation of asymptotic freedom, instantons in SU(N) gauge theory, theta vacua and the strong CP problem. Exercises are included and are intended for advanced graduate students or postdocs seeking to deepen their understanding of QFT.
Author: Michel Talagrand
Publisher: Cambridge University Press
ISBN: 1108247113
Category : Science
Languages : en
Pages : 760
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Book Description
Quantum field theory (QFT) is one of the great achievements of physics, of profound interest to mathematicians. Most pedagogical texts on QFT are geared toward budding professional physicists, however, whereas mathematical accounts are abstract and difficult to relate to the physics. This book bridges the gap. While the treatment is rigorous whenever possible, the accent is not on formality but on explaining what the physicists do and why, using precise mathematical language. In particular, it covers in detail the mysterious procedure of renormalization. Written for readers with a mathematical background but no previous knowledge of physics and largely self-contained, it presents both basic physical ideas from special relativity and quantum mechanics and advanced mathematical concepts in complete detail. It will be of interest to mathematicians wanting to learn about QFT and, with nearly 300 exercises, also to physics students seeking greater rigor than they typically find in their courses. Erratum for the book can be found at michel.talagrand.net/erratum.pdf.
Author: Daniel J Amit
Publisher: World Scientific Publishing Company
ISBN: 9813104147
Category :
Languages : en
Pages : 412
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Book Description
This volume links field theory methods and concepts from particle physics with those in critical phenomena and statistical mechanics, the development starting from the latter point of view. Rigor and lengthy proofs are trimmed by using the phenomenological framework of graphs, power counting, etc., and field theoretic methods with emphasis on renormalization group techniques. The book introduces quantum field theory to those already grounded in the concepts of statistical mechanics and advanced quantum theory, with sufficient exercises in each chapter for use as a textbook in a one-semester graduate course.
Author: V. P. Nair
Publisher: Springer Science & Business Media
ISBN: 0387250980
Category : Science
Languages : en
Pages : 560
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Book Description
Quantum field theory, which started with Paul Dirac’s work shortly after the discovery of quantum mechanics, has produced an impressive and important array of results. Quantum electrodynamics, with its extremely accurate and well-tested predictions, and the standard model of electroweak and chromodynamic (nuclear) forces are examples of successful theories. Field theory has also been applied to a variety of phenomena in condensed matter physics, including superconductivity, superfluidity and the quantum Hall effect. The concept of the renormalization group has given us a new perspective on field theory in general and on critical phenomena in particular. At this stage, a strong case can be made that quantum field theory is the mathematical and intellectual framework for describing and understanding all physical phenomena, except possibly for a quantum theory of gravity. Quantum Field Theory: A Modern Perspective presents Professor Nair’s view of certain topics in field theory loosely knit together as it grew out of courses on field theory and particle physics taught at Columbia University and the City College of CUNY. The first few chapters, up to Chapter 12, contain material that generally goes into any course on quantum field theory, although there are a few nuances of presentation which readers may find to be different from other books. This first part of the book can be used for a general course on field theory, omitting, perhaps, the last three sections in Chapter 3, the last two in Chapter 8 and sections 6 and 7 in Chapter 10. The remaining chapters cover some of the more modern developments over the last three decades, involving topological and geometrical features. The introduction given to the mathematical basis of this part of the discussion is necessarily brief and should be accompanied by books on the relevant mathematical topics as indicated in the bibliography. Professor Nair also concentrates on developments pertinent to a better understanding of the standard model. There is no discussion of supersymmetry, supergravity, developments in field theory inspired by string theory, etc. There is also no detailed discussion of the renormalization group. Each of these topics would require a book in its own right to do justice to the topic. Quantum Field Theory: A Modern Perspective serves as a portal to so many more topics of detailed and ongoing research, referring readers to more detailed treatments for many specific topics. The book also contains extensive references, providing readers a more comprehensive perspective on the literature and the historical development of the subject. V. Parameswaran Nair is Professor of Physics at City College of The City University of New York (CUNY). Professor Nair has held Visiting Professorships at The Abdus Salam International Center for Theoretical Physics, Rockefeller University, Institute for Advanced Study at Princeton, and Massachusetts Institute of Technology.
Author: S. Montana Katz
Publisher: Routledge
ISBN: 1317637089
Category : Psychology
Languages : en
Pages : 219
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Book Description
Contemporary Psychoanalytic Field Theory articulates the theory, heuristic principles, and clinical techniques of psychoanalytic field theory. S. Montana Katz describes the historical, philosophical and clinical contexts for the development of field theory in South America, North America and Europe. Field theory is a family of related bi-personal psychoanalytic perspectives falling into three principal models, which developed relatively independently. One of the principal models is based upon the work of Madeleine and Willy Baranger. The second, constructed by Katz, draws upon what is held in common by the implicit field theories in the United States of the interpersonal, intersubjective, relational and motivational systems’ psychoanalytic perspectives. The third is based upon the work of Antonino Ferro. For each, Katz elucidates its conception of mind, unconscious processes, the specific field concept employed, therapeutic goals, and clinical techniques. Similarities and differences of the models are illustrated. In the book, a fabricated analytic process is offered in which an analysand, Zoe, is engaged in three analyses. Each analyst works with the techniques of one of the three field theories. Katz conveys the diverging thought processes and technical choices of each analyst and the potentially different therapeutic outcomes of the application of each model. In the final chapters, Katz moves beyond the specific field theories to articulate a concept of a general field which underlies the three field concepts. She explores how to use this generalized field to find a form of common ground amongst the field theories, conjecturing that this generalized concept has application beyond field theory to a greater range of psychoanalytic perspectives. Contemporary Psychoanalytic Field Theory provides a clear and comprehensive guide that will appeal to psychoanalysts, psychoanalytic psychotherapists, mental health professionals and clinicians, as well as philosophers, psychologists, sociologists and anthropologists.
Author: Gregor Schöner
Publisher: Oxford University Press
ISBN: 0199300569
Category : Psychology
Languages : en
Pages : 421
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Book Description
"This book describes a new theoretical approach--Dynamic Field Theory (DFT)--that explains how people think and act"--
