Advanced Classical Field Theory

Author : G. Giachetta
Publisher : World Scientific
ISBN 13 : 9812838961
Total Pages : 393 pages
Book Rating : 4.64/5 ( download)

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Download or read book Advanced Classical Field Theory written by G. Giachetta and published by World Scientific. This book was released on 2009 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contemporary quantum field theory is mainly developed as quantization of classical fields. Therefore, classical field theory and its BRST extension is the necessary step towards quantum field theory. This book aims to provide a complete mathematical foundation of Lagrangian classical field theory and its BRST extension for the purpose of quantization. Based on the standard geometric formulation of theory of nonlinear differential operators, Lagrangian field theory is treated in a very general setting. Reducible degenerate Lagrangian theories of even and odd fields on an arbitrary smooth manifold are considered. The second Noether theorems generalized to these theories and formulated in the homology terms provide the strict mathematical formulation of BRST extended classical field theory. The most physically relevant field theories OCo gauge theory on principal bundles, gravitation theory on natural bundles, theory of spinor fields and topological field theory OCo are presented in a complete way. This book is designed for theoreticians and mathematical physicists specializing in field theory. The authors have tried throughout to provide the necessary mathematical background, thus making the exposition self-contained.

Author : Davison E. Soper
Publisher : Courier Dover Publications
ISBN 13 : 0486462609
Total Pages : 276 pages
Book Rating : 4.08/5 ( download)

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Download or read book Classical Field Theory written by Davison E. Soper and published by Courier Dover Publications. This book was released on 2008-02-04 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text concerns continuum mechanics, electrodynamics and the mechanics of electrically polarized media, and gravity. Geared toward advanced undergraduates and graduate students, it offers an accessible approach that formulates theories according to the principle of least action. The chief advantage of this formulation is its simplicity and ease, making the physical content of classical subjects available to students of physics in a concise form. Author Davison E. Soper, a Professor of Physics at the University of Oregon, intended this treatment as a primary text for courses in classical field theory as well as a supplement for courses in classical mechanics or classical electrodynamics. Topics include fields and transformation laws, the principle of stationary action, general features of classical field theory, the mechanics of fluids and elastic solids, special types of solids, nonrelativistic approximations, and the electromagnetic field. Additional subjects include electromagnetically polarized materials, gravity, momentum conservation in general relativity, and dissipative processes.

Author : Valery Rubakov
Publisher : Princeton University Press
ISBN 13 : 1400825091
Total Pages : 456 pages
Book Rating : 4.97/5 ( download)

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Download or read book Classical Theory of Gauge Fields written by Valery Rubakov and published by Princeton University Press. This book was released on 2009-02-09 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on a highly regarded lecture course at Moscow State University, this is a clear and systematic introduction to gauge field theory. It is unique in providing the means to master gauge field theory prior to the advanced study of quantum mechanics. Though gauge field theory is typically included in courses on quantum field theory, many of its ideas and results can be understood at the classical or semi-classical level. Accordingly, this book is organized so that its early chapters require no special knowledge of quantum mechanics. Aspects of gauge field theory relying on quantum mechanics are introduced only later and in a graduated fashion--making the text ideal for students studying gauge field theory and quantum mechanics simultaneously. The book begins with the basic concepts on which gauge field theory is built. It introduces gauge-invariant Lagrangians and describes the spectra of linear perturbations, including perturbations above nontrivial ground states. The second part focuses on the construction and interpretation of classical solutions that exist entirely due to the nonlinearity of field equations: solitons, bounces, instantons, and sphalerons. The third section considers some of the interesting effects that appear due to interactions of fermions with topological scalar and gauge fields. Mathematical digressions and numerous problems are included throughout. An appendix sketches the role of instantons as saddle points of Euclidean functional integral and related topics. Perfectly suited as an advanced undergraduate or beginning graduate text, this book is an excellent starting point for anyone seeking to understand gauge fields.

Author : Joel Franklin
Publisher : Cambridge University Press
ISBN 13 : 1107189616
Total Pages : 219 pages
Book Rating : 4.14/5 ( download)

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Download or read book Classical Field Theory written by Joel Franklin and published by Cambridge University Press. This book was released on 2017-04-27 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: Special relativity -- Point particle fields -- Field Lagrangians -- Gravity

Author : Horaƫiu Năstase
Publisher : Cambridge University Press
ISBN 13 : 1108757901
Total Pages : 483 pages
Book Rating : 4.04/5 ( download)

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Download or read book Classical Field Theory written by Horaƫiu Năstase and published by Cambridge University Press. This book was released on 2019-03-14 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classical field theory predicts how physical fields interact with matter, and is a logical precursor to quantum field theory. This introduction focuses purely on modern classical field theory, helping graduates and researchers build an understanding of classical field theory methods before embarking on future studies in quantum field theory. It describes various classical methods for fields with negligible quantum effects, for instance electromagnetism and gravitational fields. It focuses on solutions that take advantage of classical field theory methods as opposed to applications or geometric properties. Other fields covered includes fermionic fields, scalar fields and Chern–Simons fields. Methods such as symmetries, global and local methods, Noether theorem and energy momentum tensor are also discussed, as well as important solutions of the classical equations, in particular soliton solutions.

Author : Boris Kosyakov
Publisher : Springer Science & Business Media
ISBN 13 : 3540409343
Total Pages : 486 pages
Book Rating : 4.42/5 ( download)

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Download or read book Introduction to the Classical Theory of Particles and Fields written by Boris Kosyakov and published by Springer Science & Business Media. This book was released on 2007-07-11 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is intended as a systematic introduction to gauge field theory for advanced undergraduate and graduate students in high energy physics. The discussion is restricted to the classical (non-quantum) theory in Minkowski spacetime. Particular attention has been given to conceptual aspects of field theory, accurate definitions of basic physical notions, and thorough analysis of exact solutions to the equations of motion for interacting systems.

Author :
Publisher :
ISBN 13 : 9814468649
Total Pages : pages
Book Rating : 4.40/5 ( download)

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Download or read book Advanced Classical Field Theory written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Leonard Susskind
Publisher : Basic Books
ISBN 13 : 0465093353
Total Pages : 295 pages
Book Rating : 4.59/5 ( download)

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Download or read book Special Relativity and Classical Field Theory written by Leonard Susskind and published by Basic Books. This book was released on 2017-09-26 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: The third volume in the bestselling physics series cracks open Einstein's special relativity and field theory Physicist Leonard Susskind and data engineer Art Friedman are back. This time, they introduce readers to Einstein's special relativity and Maxwell's classical field theory. Using their typical brand of real math, enlightening drawings, and humor, Susskind and Friedman walk us through the complexities of waves, forces, and particles by exploring special relativity and electromagnetism. It's a must-read for both devotees of the series and any armchair physicist who wants to improve their knowledge of physics' deepest truths.

Author : Florian Scheck
Publisher : Springer Science & Business Media
ISBN 13 : 3642279856
Total Pages : 443 pages
Book Rating : 4.50/5 ( download)

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Download or read book Classical Field Theory written by Florian Scheck and published by Springer Science & Business Media. This book was released on 2012-05-08 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book describes Maxwell's equations first in their integral, directly testable form, then moves on to their local formulation. The first two chapters cover all essential properties of Maxwell's equations, including their symmetries and their covariance in a modern notation. Chapter 3 is devoted to Maxwell theory as a classical field theory and to solutions of the wave equation. Chapter 4 deals with important applications of Maxwell theory. It includes topical subjects such as metamaterials with negative refraction index and solutions of Helmholtz' equation in paraxial approximation relevant for the description of laser beams. Chapter 5 describes non-Abelian gauge theories from a classical, geometric point of view, in analogy to Maxwell theory as a prototype, and culminates in an application to the U(2) theory relevant for electroweak interactions. The last chapter 6 gives a concise summary of semi-Riemannian geometry as the framework for the classical field theory of gravitation. The chapter concludes with a discussion of the Schwarzschild solution of Einstein's equations and the classical tests of general relativity (perihelion precession of Mercury, and light deflection by the sun). ------ Textbook features: detailed figures, worked examples, problems and solutions, boxed inserts, highlighted special topics, highlighted important math etc., helpful summaries, appendix, index.

Author : Ernst Binz
Publisher : Courier Corporation
ISBN 13 : 0486150445
Total Pages : 474 pages
Book Rating : 4.44/5 ( download)

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Download or read book Geometry of Classical Fields written by Ernst Binz and published by Courier Corporation. This book was released on 2011-11-30 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: A canonical quantization approach to classical field theory, this text is suitable for mathematicians interested in theoretical physics as well as to theoretical physicists who use differential geometric methods in their modelling. Introduces differential geometry, the theory of Lie groups, and progresses to discuss the systematic development of a covariant Hamiltonian formulation of field theory. 1988 edition.