Homology and Feynman integrals:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Benjamin
1966
|
| Schriftenreihe: | The mathematical physics monograph series
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XI, 331 S. graph. Darst. |
Internformat
MARC
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| 100 | 1 | |a Hwa, Rudolph C. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Homology and Feynman integrals |c Rudolph C. Hwa ; Vigdor L. Teplitz |
| 264 | 1 | |a New York [u.a.] |b Benjamin |c 1966 | |
| 300 | |a XI, 331 S. |b graph. Darst. | ||
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| 650 | 7 | |a Wiskundige methoden |2 gtt | |
| 650 | 4 | |a Mathematische Physik | |
| 650 | 4 | |a Physik | |
| 650 | 4 | |a Feynman integrals | |
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Datensatz im Suchindex
| _version_ | 1804116362632626176 |
|---|---|
| adam_text | CONTENTS
Preface v
Chapter 1. Singularities 1
1 1. Introduction 1
1 2. Landau Surface 3
1 3. Pinch in Momentum Space 9
1 4. Discontinuity and Unitarity Integrals 12
1 5. Nodes and Cusps 17
1 6. Non Landau Singularities 20
1 7. Abelian Integrals and Topology 22
Chapter 2. Homology 25
2 1. Introduction 25
2 2. Simplicial Complexes 26
2 3. Chains, Cycles, and Boundaries 29
2 4. The Homology Group 31
2 5. The Relative Homology Group 32
2 6. Chain Mapping and Induced Homomorphism 35
2 7. Exact Sequences 37
2 8. The Exact Homology Sequence 40
Chapter 3. Integrals 42
3 1. Introduction 42
ix
x Contents
3 2. Compact and Closed Homologies 46
3 3. The Coboundary Homomorphism 50
3 4. The Vanishing Class 53
3 5. The Kronecker Index 59
3 6. The Picard Lefschetz Theorem 63
3 7. Example: A Unitarity Integral 67
3 8. Example: An Effective Intersection 71
Chapter 4. Discontinuities 74
4 1. Introduction 74
4 2. Differential Forms 74
4 3. The Residue Formula 78
4 4. The Discontinuity Formula 81
Chapter 5. More Mathematics 83
5 1. Introduction 83
5 2. Homotopy 83
5 3. Manifolds and Varieties 86
5 4. Cohomology 89
5 5. Fiber Bundle 92
5 6. Spectral Sequences 94
5 7. Categories and Functors 99
5 8. Sheaves 100
Chapter 6. Some Results 104
6 1. The Ambient Isotopy Theorem 104
6 2. Compactification 106
6 3. The Decomposition Theorem 109
6 4. Concluding Remarks 110
References 113
Reprints 117
Index 325
|
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| discipline | Physik Mathematik |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T15:37:18Z |
| institution | BVB |
| language | English |
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| physical | XI, 331 S. graph. Darst. |
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| spelling | Hwa, Rudolph C. Verfasser aut Homology and Feynman integrals Rudolph C. Hwa ; Vigdor L. Teplitz New York [u.a.] Benjamin 1966 XI, 331 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier The mathematical physics monograph series Feynman-integralen gtt Homologie gtt Mathematische fysica gtt Natuurkunde gtt Wiskundige methoden gtt Mathematische Physik Physik Feynman integrals Mathematical physics Pfadintegral (DE-588)4173973-5 gnd rswk-swf Homologie (DE-588)4141951-0 gnd rswk-swf Pfadintegral (DE-588)4173973-5 s DE-604 Homologie (DE-588)4141951-0 s Teplitz, Vigdor L. Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001253925&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hwa, Rudolph C. Teplitz, Vigdor L. Homology and Feynman integrals Feynman-integralen gtt Homologie gtt Mathematische fysica gtt Natuurkunde gtt Wiskundige methoden gtt Mathematische Physik Physik Feynman integrals Mathematical physics Pfadintegral (DE-588)4173973-5 gnd Homologie (DE-588)4141951-0 gnd |
| subject_GND | (DE-588)4173973-5 (DE-588)4141951-0 |
| title | Homology and Feynman integrals |
| title_auth | Homology and Feynman integrals |
| title_exact_search | Homology and Feynman integrals |
| title_full | Homology and Feynman integrals Rudolph C. Hwa ; Vigdor L. Teplitz |
| title_fullStr | Homology and Feynman integrals Rudolph C. Hwa ; Vigdor L. Teplitz |
| title_full_unstemmed | Homology and Feynman integrals Rudolph C. Hwa ; Vigdor L. Teplitz |
| title_short | Homology and Feynman integrals |
| title_sort | homology and feynman integrals |
| topic | Feynman-integralen gtt Homologie gtt Mathematische fysica gtt Natuurkunde gtt Wiskundige methoden gtt Mathematische Physik Physik Feynman integrals Mathematical physics Pfadintegral (DE-588)4173973-5 gnd Homologie (DE-588)4141951-0 gnd |
| topic_facet | Feynman-integralen Homologie Mathematische fysica Natuurkunde Wiskundige methoden Mathematische Physik Physik Feynman integrals Mathematical physics Pfadintegral |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001253925&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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