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Advanced Classical Field Theory

Language EnglishEnglish
Book Hardback
Book Advanced Classical Field Theory Giovanni Giachetta
Libristo code: 05069469
Contemporary quantum field theory is mainly developed as quantization of classical fields. Therefore... Full description
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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 - gauge theory on principal bundles, gravitation theory on natural bundles, theory of spinor fields and topological field theory - 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.

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About the book

Full name Advanced Classical Field Theory
Language English
Binding Book - Hardback
Date of issue 2009
Number of pages 392
EAN 9789812838957
ISBN 9812838953
Libristo code 05069469
Weight 680
Dimensions 161 x 240 x 26
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