Electrodynamics and Classical Theory of Fields Particles

CLASSICAL THEORY OF FIELDS AND PARTICLES A.O. BARUT we can only hope that more such striking expositions will be written . " -Bulletin of the American Mathematical Society This is a systematic , covariant treatment of the classical ...

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Author: Asim Orhan Barut

Publisher: Courier Corporation

ISBN: 0486640388

Category: Science

Page: 235

View: 605

The first comprehensive treatment of relativistic electrodynamics, this volume remains essential reading. This graduate-level text was written by a distinguished theoretical physicist. It deftly reveals the classical underpinnings of modern quantum field theory with explorations of space-time, Lorentz transformations, conservation laws, equations of motion, Green’s functions, and action-at-a-distance electrodynamics. 1964 edition.

Lectures on Classical and Quantum Theory of Fields

This textbook on field theory is based on our lectures delivered to students beginning their specialization in theoretical physics at the Jagiellonian University in Cracow. The lectures were accompanied by problem-solving classes.

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Author: Henryk Arodz

Publisher: Springer Science & Business Media

ISBN: 9783642156243

Category: Science

Page: 351

View: 618

This textbook on classical and quantum theory of fields addresses graduate students starting to specialize in theoretical physics. It provides didactic introductions to the main topics in the theory of fields, while taking into account the contemporary view of the subject. The student will find concise explanations of basic notions essential for applications of the theory of fields as well as for frontier research in theoretical physics. One third of the book is devoted to classical fields. Each chapter contains exercises of varying degree of difficulty with hints or solutions, plus summaries and worked examples as useful. The textbook is based on lectures delivered to students of theoretical physics at Jagiellonian University. It aims to deliver a unique combination of classical and quantum field theory in one compact course.

The Quantum Theory of Fields

17 RENORMALIZATION OF GAUGE THEORIES 80 17.1 The Zinn - Justin Equation 80 Slavnov - Taylor identities for BRST symmetry External fields Kn ( x ) Antibrackets 17.2 Renormalization : Direct Analysis 82 Recursive argument O BRST ...

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Author: Steven Weinberg

Publisher: Cambridge University Press

ISBN: 0521550025

Category: Science

Page: 489

View: 353

A comprehensive introduction to quantum field theory by Nobel Laureate Steven Weinberg, first published in 1996.

A Theory of Fields

A Theory of Fields draws together far-ranging insights from social movement theory, organizational theory, and economic and political sociology to construct a general theory of social organization and strategic action.

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Author: Neil Fligstein

Publisher: OUP USA

ISBN: 9780199859948

Category: Business & Economics

Page: 238

View: 102

In recent years there has been an outpouring of work at the intersection of social movement thoery, organizational theory, economic, and political sociology. The problems at the core of these areas, Fligstein and McAdam argue, have a similar analytic and theoretical structure. Synthesizing much of this work, A Theory of Fields offers a general perspective on how to understand the problems related to understanding change and instability in modern, complex societies through a theory of strategic action fields.

Theory of Interacting Quantum Fields

In the second part “Classical Theory of Free Fields”, the Lagrangian formalism of the classical field theory is presented and the Klein–Fock–Gordon, Dirac, and Maxwell equations of free fields, as well as the corresponding equations for ...

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Author: Alexei L. Rebenko

Publisher: Walter de Gruyter

ISBN: 9783110250633

Category: Mathematics

Page: 588

View: 115

This monograph is devoted to the systematic and encyclopedic presentation of the foundations of quantum field theory. It represents mathematical problems of the quantum field theory with regard to the new methods of the constructive and Euclidean field theory formed for the last thirty years of the 20th century on the basis of rigorous mathematical tools of the functional analysis, the theory of operators, and the theory of generalized functions. The book is useful for young scientists who desire to understand not only the formal structure of the quantum field theory but also its basic concepts and connection with classical mechanics, relativistic classical field theory, quantum mechanics, group theory, and the theory of functional integration.

Model Theory

gives us the theory of integral domains. Adding the two axioms (13) 0 $ 1, (14) x $ 0 -+ (E1y)(y ~ x E I) (existence of multiplicative inverse), gives the important theory of fields. For a fixed prime p, if we add the axiom (15,) pl E 0 ...

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Author: C.C. Chang

Publisher: Courier Corporation

ISBN: 9780486310954

Category: Mathematics

Page: 672

View: 276

This bestselling textbook for higher-level courses was extensively revised in 1990 to accommodate developments in model theoretic methods. Topics include models constructed from constants, ultraproducts, and saturated and special models. 1990 edition.

A Philosophical Approach to Quantum Field Theory

1 of The Quantum Theory of Fields (Cambridge: Cambridge University Press, 2005). H. Goldstein, Classical Mechanics, 2nd ed. (Reading, MA: Addison-Wesley, 1980). R. M. Santilli, The Inverse Problem in Newtonian Mechanics, Vol.

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Author: Hans Christian Öttinger

Publisher: Cambridge University Press

ISBN: 9781108246200

Category: Science

Page: 260

View: 298

This text presents an intuitive and robust mathematical image of fundamental particle physics based on a novel approach to quantum field theory, which is guided by four carefully motivated metaphysical postulates. In particular, the book explores a dissipative approach to quantum field theory, which is illustrated for scalar field theory and quantum electrodynamics, and proposes an attractive explanation of the Planck scale in quantum gravity. Offering a radically new perspective on this topic, the book focuses on the conceptual foundations of quantum field theory and ontological questions. It also suggests a new stochastic simulation technique in quantum field theory which is complementary to existing ones. Encouraging rigor in a field containing many mathematical subtleties and pitfalls this text is a helpful companion for students of physics and philosophers interested in quantum field theory, and it allows readers to gain an intuitive rather than a formal understanding.

Non perturbative Quantum Field Theory Mathematical Aspects And Applications

The first of these is hydrodynamics (the problem of flow of a viscous fluid, the theory of a compressible gas, the theory of turbulence). The second area is theoretical physics, more precisely, the quantum theory of fields and the ...

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Author: Jurg Frohlich

Publisher: World Scientific

ISBN: 9789814506564

Category:

Page: 854

View: 960

Compiled to illustrate the recent history of Quantum Field Theory and its trends, this collection of selected reprints by Jürg Fröhlich, a leading theoretician in the field, is a comprehensive guide of the more mathematical aspects of the subject. Results and methods of the past fifteen years are reviewed. The analytical methods employed are non-perturbative and, for the larger part, mathematically rigorous. Most articles are review articles surveying certain important developments in quantum field theory and guiding the reader towards the original literature.The volume begins with a comprehensive introduction by Jürg Fröhlich.The theory of phase transitions and continuous symmetry breaking is reviewed in the first section. The second section discusses the non-perturbative quantization of topological solitons. The third section is devoted to the study of gauge fields. A paper on the triviality of λϖ4 — theory in four and more dimensions is found in the fourth section, while the fifth contains two articles on “random geometry”. The sixth and final part addresses topics in low-dimensional quantum field theory, including braid statistics, two-dimensional conformal field theory and an application to condensed matter theory.

Advances in Quantum Field Theory

Clothed particle representation in quantum field theory: Mass renormalization, Phys. Rev. D 70,085011. Korda, V.Yu.; Canton, L.; Shebeko, A.V. (2007). Relativistic interactions for the meson-two-nucleon system in the clothed-particle ...

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Author: Sergey Ketov

Publisher: BoD – Books on Demand

ISBN: 9789535100355

Category: Science

Page: 244

View: 969

Quantum Field Theory is now well recognized as a powerful tool not only in Particle Physics but also in Nuclear Physics, Condensed Matter Physics, Solid State Physics and even in Mathematics. In this book some current applications of Quantum Field Theory to those areas of modern physics and mathematics are collected, in order to offer a deeper understanding of known facts and unsolved problems.

Quantum Field Theory

Instead of constructing fields in terms of particle wave functions, we consider fields as the fundamental dynamical variables and discuss how to obtain a quantum theory of fields. We shall first consider bosonic fields.

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Author: V. P. Nair

Publisher: Springer Science & Business Media

ISBN: 9780387213866

Category: Mathematics

Page: 557

View: 332

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.