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Advanced classical field theory

Giachetta, G.{me_controlnum}

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Advanced classical field theory

Record Type:	Electronic resources : Monograph/item
Title/Author:	Advanced classical field theory/ Giovanni Giachetta, Luigi Mangiarotti, Gennadi Sardanashvily.
Author:	Giachetta, G.{me_controlnum}
other author:	Mangiarotti, L.
Published:	Singapore ;World Scientific, : c2009.,
Description:	x, 382 p.
Subject:	Field theory (Physics) - Mathematics. -
Online resource:	http://www.worldscientific.com/worldscibooks/10.1142/7189#t=toc
ISBN:	9789812838964 (electronic bk.)

Advanced classical field theory
Giachetta, G.{me_controlnum}

Advanced classical field theory[electronic resource] /Giovanni Giachetta, Luigi Mangiarotti, Gennadi Sardanashvily. - Singapore ;World Scientific,c2009. - x, 382 p.

Includes bibliographical references (p. 359-367) and index.

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.

Electronic reproduction.
Singapore :
World Scientific Publishing Co.,
2009.

System requirements: Adobe Acrobat Reader.

ISBN: 9789812838964 (electronic bk.)Subjects--Topical Terms:

778165
Field theory (Physics)
--Mathematics.

LC Class. No.: QC173.7

Dewey Class. No.: 530.14

Advanced classical field theory
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245 1 0 $a Advanced classical field theory $h [electronic resource] / $c Giovanni Giachetta, Luigi Mangiarotti, Gennadi Sardanashvily.
260 $a Singapore ; $a Hackensack, N.J. : $b World Scientific, $c c2009.
300 $a x, 382 p.
504 $a Includes bibliographical references (p. 359-367) and index.
520 $a 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.
533 $a Electronic reproduction. $b Singapore : $c World Scientific Publishing Co., $d 2009. $n System requirements: Adobe Acrobat Reader. $n Mode of access: World Wide Web. $n Available to subscribing institutions.
650 0 $a Field theory (Physics) $x Mathematics. $3 778165
650 0 $a Lagrange equations. $3 888591
700 1 $a Mangiarotti, L. $3 773929
700 1 $a Sardanashvili, G. A. $q (Gennadi熵 Aleksandrovich) $3 1573795
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