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Advanced Classical Field Theory

Author : G. Giachetta
ISBN : 9789812838964
Genre : Science
File Size : 45. 6 MB
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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.

Classical Field Theory

Author : Francis E. Low
ISBN : 9783527617463
Genre : Science
File Size : 55. 93 MB
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The author uses a unique approach which emphasizes the field theoretic aspects of gravitation and the strong analogies between gravitation and the other areas that are studied in physics. The theory-centered text begins with the simplest experimental facts then proceeds to the corresponding differential equations, theoretical constructs such as energy, momentum and stress and several applications. End-of-chapter problems provide students with an opportunity to test their understanding, serve as an introduction to and a review of material not included in the book and can be used to develop examples, extensions and generalizations of the material presented.

Classical Field Theory

Author : Horaƫiu Năstase
ISBN : 9781108477017
Genre : Science
File Size : 90. 66 MB
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An introduction to classical field theory focusing on methods and solutions, providing a foundation for the study of quantum field theory.

Special Relativity And Classical Field Theory

Author : Leonard Susskind
ISBN : 9780465093359
Genre : Science
File Size : 52. 52 MB
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A funny, insightful, and self-contained guide to Einstein's relativity theory and classical field theories--including electromagnetism 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.

From Classical Field Theory To Perturbative Quantum Field Theory

Author : Michael Dütsch
ISBN : 3030047377
Genre : Mathematics
File Size : 48. 82 MB
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This book develops a novel approach to perturbative quantum field theory: starting with a perturbative formulation of classical field theory, quantization is achieved by means of deformation quantization of the underlying free theory and by applying the principle that as much of the classical structure as possible should be maintained. The resulting formulation of perturbative quantum field theory is a version of the Epstein-Glaser renormalization that is conceptually clear, mathematically rigorous and pragmatically useful for physicists. The connection to traditional formulations of perturbative quantum field theory is also elaborated on, and the formalism is illustrated in a wealth of examples and exercises.

Geometry And Quantum Field Theory

Author : Daniel S. Freed
ISBN : 0821886835
Genre : Science
File Size : 83. 49 MB
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The first title in a new series, this book explores topics from classical and quantum mechanics and field theory. The material is presented at a level between that of a textbook and research papers making it ideal for graduate students. The book provides an entree into a field that promises to remain exciting and important for years to come.

Mathematical Aspects Of Classical Field Theory

Author : Mark J. Gotay
ISBN : 0821851446
Genre : Science
File Size : 66. 60 MB
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The Classical Field Theories

Author : Clifford Truesdell
ISBN : OCLC:21498281
Genre : Field theory (Physics)
File Size : 88. 7 MB
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Advanced Classical Electrodynamics

Author : Ulrich D Jentschura
ISBN : 9789813222878
Genre :
File Size : 56. 26 MB
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This textbook introduces advanced classical electrodynamics using modern mathematical techniques, with an emphasis on physical concepts. Connections to field theory and general relativity are highlighted while the book still serves as the basis for a one- or two-semester course on electrodynamics within the graduate curriculum. Request Inspection Copy

A First Book Of Quantum Field Theory

Author : Amitabha Lahiri
ISBN : 0849338972
Genre : Science
File Size : 34. 10 MB
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This book introduces QFT for readers with no prior knowledge of the subject. It is meant to be a textbook for advanced undergraduate or beginning postgraduate students. The book discusses quantization of fields, S-matrix theory, Feynman diagrams, calculation of decay rates and cross sections, renormalization, symmetries and symmetry breaking. Some background material on classical field theory and group theory, needed for the exposition, are also presented in the book. Detailed calculations of weak and electromagnetic processes are included. There are many exercise problems to help the students, instructors and beginning researchers in the field. The second edition improves upon some notations and explanations, and includes answers to selected exercises.

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