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Cover: 9789812838957 | Advanced Classical Field Theory | Giovanni Giachetta (u. a.) | Buch
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ADVANCED CLASSICAL FIELD THEORY
Buch von Giovanni Giachetta Et Al
Sprache: Englisch

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Beschreibung
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 [...] 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.
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 [...] 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.
Details
Erscheinungsjahr: 2009
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
ISBN-13: 9789812838957
ISBN-10: 9812838953
Sprache: Englisch
Ausstattung / Beilage: HC gerader Rücken kaschiert
Einband: Gebunden
Autor: Giovanni Giachetta Et Al
Hersteller: World Scientific
Maße: 235 x 157 x 26 mm
Von/Mit: Giovanni Giachetta Et Al
Erscheinungsdatum: 04.05.2009
Gewicht: 0,722 kg
Artikel-ID: 101635008
Details
Erscheinungsjahr: 2009
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
ISBN-13: 9789812838957
ISBN-10: 9812838953
Sprache: Englisch
Ausstattung / Beilage: HC gerader Rücken kaschiert
Einband: Gebunden
Autor: Giovanni Giachetta Et Al
Hersteller: World Scientific
Maße: 235 x 157 x 26 mm
Von/Mit: Giovanni Giachetta Et Al
Erscheinungsdatum: 04.05.2009
Gewicht: 0,722 kg
Artikel-ID: 101635008
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