Advanced classical field theory

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 an...

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Detalles Bibliográficos
Autores principales: Giachetta, Giovanni, Mangiarotti, Luigi, Sardanashvily, Gennadi
Lenguaje:eng
Publicado: World Scientific 2009
Materias:
General Theoretical Physics
Acceso en línea:http://cds.cern.ch/record/1221825
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author Giachetta, Giovanni
Mangiarotti, Luigi
Sardanashvily, Gennadi
author_facet Giachetta, Giovanni
Mangiarotti, Luigi
Sardanashvily, Gennadi
author_sort Giachetta, Giovanni
collection CERN
description 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
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institution Organización Europea para la Investigación Nuclear
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publishDate 2009
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spelling cern-12218252021-04-22T01:31:48Zhttp://cds.cern.ch/record/1221825engGiachetta, GiovanniMangiarotti, LuigiSardanashvily, GennadiAdvanced classical field theoryGeneral Theoretical PhysicsContemporary 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 theoryWorld Scientificoai:cds.cern.ch:12218252009
spellingShingle General Theoretical Physics
Giachetta, Giovanni
Mangiarotti, Luigi
Sardanashvily, Gennadi
Advanced classical field theory
title Advanced classical field theory
title_full Advanced classical field theory
title_fullStr Advanced classical field theory
title_full_unstemmed Advanced classical field theory
title_short Advanced classical field theory
title_sort advanced classical field theory
topic General Theoretical Physics
url http://cds.cern.ch/record/1221825
work_keys_str_mv AT giachettagiovanni advancedclassicalfieldtheory
AT mangiarottiluigi advancedclassicalfieldtheory
AT sardanashvilygennadi advancedclassicalfieldtheory

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