Overview

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.

Full Product Details

Author:   Giovanni Giachetta (Univ Of Camerino, Italy) ,  Gennadi A Sardanashvily (Moscow State Univ, Russia) ,  Luigi Mangiarotti (Univ Of Camerino, Italy)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Dimensions:   Width: 15.50cm , Height: 2.50cm , Length: 23.10cm
Weight:   0.703kg
ISBN:  

9789812838957

ISBN 10:   9812838953
Pages:   392
Publication Date:   11 May 2009
Audience:   College/higher education ,  Professional and scholarly ,  Tertiary & Higher Education ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Awaiting stock  
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Table of Contents

Differential Calculus on Fiber Bundles; Lagrangian Theory on Fiber Bundles; Covariant Hamiltonian Field Theory; Grassmann-Graded Lagrangian Theory; Lagrangian BRST Theory; Gauge Theory on Principal Fiber Bundles; Gravitation Theory on Natural Bundles; Spinor Fields, Topological Field Theories.

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