Advanced Classical Field Theory

Author : G. Giachetta
Publisher : World Scientific
Page : 393 pages
File Size : 49,6 Mb
Release : 2009
Category : Science
ISBN : 9789812838964

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Advanced Classical Field Theory by G. Giachetta Pdf

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 : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 45,8 Mb
Release : 2024-07-01
Category : Electronic
ISBN : 9789814468640

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Advanced Classical Field Theory by Anonim Pdf

Author : Davison E. Soper
Publisher : Courier Dover Publications
Page : 276 pages
File Size : 52,7 Mb
Release : 2008-02-04
Category : Science
ISBN : 9780486462608

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Classical Field Theory by Davison E. Soper Pdf

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 : Joel Franklin
Publisher : Cambridge University Press
Page : 219 pages
File Size : 41,5 Mb
Release : 2017-04-27
Category : Science
ISBN : 9781107189614

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Classical Field Theory by Joel Franklin Pdf

Special relativity -- Point particle fields -- Field Lagrangians -- Gravity

Author : Horaƫiu Năstase
Publisher : Cambridge University Press
Page : 483 pages
File Size : 55,8 Mb
Release : 2019-03-14
Category : Science
ISBN : 9781108477017

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Classical Field Theory by Horaƫiu Năstase Pdf

An introduction to classical field theory focusing on methods and solutions, providing a foundation for the study of quantum field theory.

Author : Valery Rubakov
Publisher : Princeton University Press
Page : 456 pages
File Size : 46,5 Mb
Release : 2009-02-09
Category : Science
ISBN : 9781400825097

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Classical Theory of Gauge Fields by Valery Rubakov Pdf

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 : Boris Kosyakov
Publisher : Springer Science & Business Media
Page : 486 pages
File Size : 52,9 Mb
Release : 2007-07-11
Category : Science
ISBN : 9783540409342

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Introduction to the Classical Theory of Particles and Fields by Boris Kosyakov Pdf

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 : Florian Scheck
Publisher : Springer Science & Business Media
Page : 443 pages
File Size : 52,7 Mb
Release : 2012-05-08
Category : Science
ISBN : 9783642279850

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Classical Field Theory by Florian Scheck Pdf

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 : Leonard Susskind,Art Friedman
Publisher : Basic Books
Page : 295 pages
File Size : 40,6 Mb
Release : 2017-09-26
Category : Science
ISBN : 9780465093359

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Special Relativity and Classical Field Theory by Leonard Susskind,Art Friedman Pdf

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 : Joel Franklin
Publisher : Cambridge University Press
Page : 219 pages
File Size : 40,5 Mb
Release : 2017-04-27
Category : Science
ISBN : 9781108101530

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Classical Field Theory by Joel Franklin Pdf

Classical field theory, which concerns the generation and interaction of fields, is a logical precursor to quantum field theory, and can be used to describe phenomena such as gravity and electromagnetism. Written for advanced undergraduates, and appropriate for graduate level classes, this book provides a comprehensive introduction to field theories, with a focus on their relativistic structural elements. Such structural notions enable a deeper understanding of Maxwell's equations, which lie at the heart of electromagnetism, and can also be applied to modern variants such as Chern–Simons and Born–Infeld. The structure of field theories and their physical predictions are illustrated with compelling examples, making this book perfect as a text in a dedicated field theory course, for self-study, or as a reference for those interested in classical field theory, advanced electromagnetism, or general relativity. Demonstrating a modern approach to model building, this text is also ideal for students of theoretical physics.

Author : G. Sardanashvily
Publisher : World Scientific
Page : 168 pages
File Size : 53,6 Mb
Release : 1995
Category : Science
ISBN : 9810220456

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Generalized Hamiltonian Formalism for Field Theory by G. Sardanashvily Pdf

In the framework of the geometric formulation of field theory, classical fields are represented by sections of fibred manifolds, and their dynamics is phrased in jet manifold terms. The Hamiltonian formalism in fibred manifolds is the multisymplectic generalization of the Hamiltonian formalism in mechanics when canonical momenta correspond to derivatives of fields with respect to all world coordinates, not only to time. This book is devoted to the application of this formalism to fundamental field models including gauge theory, gravitation theory, and spontaneous symmetry breaking. All these models are constraint ones. Their Euler-Lagrange equations are underdetermined and need additional conditions. In the Hamiltonian formalism, these conditions appear automatically as a part of the Hamilton equations, corresponding to different Hamiltonian forms associated with a degenerate Lagrangian density. The general procedure for describing constraint systems with quadratic and affine Lagrangian densities is presented.

Author : Ernst Binz,Jedrzej Sniatycki
Publisher : Courier Corporation
Page : 474 pages
File Size : 51,9 Mb
Release : 2011-11-30
Category : Mathematics
ISBN : 9780486150444

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Geometry of Classical Fields by Ernst Binz,Jedrzej Sniatycki Pdf

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.

Author : Asher Yahalom
Publisher : Bentham Science Publishers
Page : 302 pages
File Size : 44,7 Mb
Release : 2011
Category : Science
ISBN : 9781608051953

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Advances in Classical Field Theory by Asher Yahalom Pdf

Annotation Classical field theory is employed by physicists to describe a wide variety of physical phenomena. These include electromagnetism, fluid dynamics, gravitation and quantum mechanics. The central entity of field theory is the field which is usually a multi component function of space and time. Those multi component functions are usually grouped together as vector fields as in the case in electromagnetic theory and fluid dynamics, in other cases they are grouped as tensors as in theories of gravitation and yet in other cases they are grouped as complex functions as in the case of quantum mechanics. In order to know the value of the field one needs to solve a set of coupled partial differential equations with given boundary and initial conditions. The book covers a selection of recent advances in classical field theory involving electromagnetism, fluid dynamics, gravitation and quantum mechanics. Advances in Classical Field Theory will benefit readers by saving them the effort to read through numerous journal articles which would be needed to obtain a coherent picture of classical field theory otherwise. The book is unique in its aim and scope and is not similar to any existing publication.

Author : Robert Wald
Publisher : Princeton University Press
Page : 248 pages
File Size : 53,8 Mb
Release : 2022-03-22
Category : Science
ISBN : 9780691220390

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Advanced Classical Electromagnetism by Robert Wald Pdf

"This is a concise, beginning graduate-level textbook on classical electromagnetism, the branch of physics that describes the interaction of electric currents or fields and magnetic fields. Electromagnetism (also called electrodynamics) is one of the pillars of modern physics and, as such, of the modern physics curriculum, with courses on electromagnetism required at the undergraduate and graduate levels. These courses traditionally proceed in a quasi-historical fashion, starting from equations and laws that were first formulated in the eighteenth and nineteenth centuries and still form the foundations of our understanding of electromagnetism. However, as Robert Wald argues, teaching in this way can be imprecise and tends to promote outdated ways of thinking about the subject. This book rethinks how electromagnetism is presented at the graduate level, offering a corrective that aims to bring teaching up to date with our more modern understanding of the topic. The book begins by debunking four common misconceptions, or "myths," that can hinder a deep conceptual understanding of electromagnetism. Wald then proceeds through the major topics first-year grad courses (and textbooks) in electromagnetism typically cover, including electrostatics, dielectrics, magnetostatics, electrodynamics, geometric optics, special relativity, gauge theory, and point charge. Wald's aim throughout is to explain to students how to think about electromagnetism from a modern and mathematically precise perspective, formulating all the key conceptual ideas and results in the field clearly and concisely, while forgoing extensive collections of examples and applications. The book could be used as the basis for or as a supplement to a course, or for self-study by students seeking a deeper understanding than traditional courses and books offer"--

Author : Harish Parthasarathy
Publisher : CRC Press
Page : 263 pages
File Size : 44,8 Mb
Release : 2022-12-23
Category : Science
ISBN : 9781000815313

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Advanced Classical and Quantum Probability Theory with Quantum Field Theory Applications by Harish Parthasarathy Pdf

This book is based on three undergraduate and postgraduate courses taught by the author on Matrix theory, Probability theory and Antenna theory over the past several years. It discusses Matrix theory, Probability theory and Antenna theory with solved problems. It will be useful to undergraduate and postgraduate students of Electronics and Communications Engineering. Print edition not for sale in South Asia (India, Sri Lanka, Nepal, Bangladesh, Pakistan and Bhutan).