A01=Gennadi A Sardanashvily
A01=Giovanni Giachetta
A01=Luigi Mangiarotti
Author_Gennadi A Sardanashvily
Author_Giovanni Giachetta
Author_Luigi Mangiarotti
BRST Theory
Category=PHQ
Category=PHU
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eq_isMigrated=2
eq_nobargain
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eq_science
Fiber Bundles
Field Theory
Gauge Theory
Gravitation Theory
Jet Manifolds
Noether Theorems
Spinor Fields
Topological Field Theory
Product details
- ISBN 9789812838957
- Publication Date: 11 May 2009
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
