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Record Nr. |
UNINA9910781199503321 |
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Autore |
Giachetta G |
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Titolo |
Advanced classical field theory [[electronic resource] /] / Giovanni Giachetta, Luigi Mangiarotti, Gennadi Sardanashvily |
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Pubbl/distr/stampa |
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Singapore ; ; Hackensack, NJ, : World Scientific, c2009 |
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ISBN |
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1-282-44286-4 |
9786612442865 |
981-283-896-1 |
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Descrizione fisica |
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1 online resource (393 p.) |
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Altri autori (Persone) |
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MangiarottiL |
SardanashviliG. A (Gennadiì† Aleksandrovich) |
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Disciplina |
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Soggetti |
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Field theory (Physics) - Mathematics |
Lagrange equations |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references (p. 359-367) and index. |
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Nota di contenuto |
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Preface; Contents; Introduction; 1. Differential calculus on fibre bundles; 2. Lagrangian field theory on fibre bundles; 3. Grassmann-graded Lagrangian field theory; 4. Lagrangian BRST theory; 5. Gauge theory on principal bundles; 6. Gravitation theory on natural bundles; 7. Spinor fields; 8. Topological field theories; 9. Covariant Hamiltonian field theory; 10. Appendixes; Bibliography; Index |
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Sommario/riassunto |
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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 manifo |
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