Scattering amplitudes in Gauge theories:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Heidelberg ; Berlin
Springer
[2014]
|
| Schriftenreihe: | Lecture notes in physics
883 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XV, 195 Seiten Diagramme |
| ISBN: | 9783642540219 |
Internformat
MARC
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| 100 | 1 | |a Henn, Johannes M. |d 1980- |e Verfasser |0 (DE-588)1100738479 |4 aut | |
| 245 | 1 | 0 | |a Scattering amplitudes in Gauge theories |c Johannes M. Henn ; Jan C. Plefka |
| 264 | 1 | |a Heidelberg ; Berlin |b Springer |c [2014] | |
| 300 | |a XV, 195 Seiten |b Diagramme | ||
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Datensatz im Suchindex
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|---|---|
| adam_text | CONTENTS
1 INTRODUCTION AND BASICS 1
1.1 LORENTZ AND POINCARE GROUP, ALGEBRA AND REPRESENTATIONS . ... 1
1.2 WEYL AND DIRAC SPINORS 3
1.3 NON-ABELIAN GAUGE THEORIES 6
1.4 SCATTERING AMPLITUDES AND FEYNMAN RULES FOR GAUGE THEORIES . 10
1.5 MASSLESS PARTICLES: HELICITY 14
1.6 SPINOR HELICITY FORMALISM FOR MASSLESS PARTICLES 15
1.7 GLUON POLARIZATIONS 18
1.8 FERMION POLARIZATIONS 19
1.9 COLOR DECOMPOSITION 20
1.10 COLOR ORDERED FEYNMAN RULES AND PROPERTIES OF COLOR-ORDERED
AMPLITUDES 24
1.11 VANISHING TREE AMPLITUDES 27
1.12 THE FOUR-GLUON TREE-AMPLITUDE 29
1.13 REFERENCES AND FURTHER READING 32
REFERENCES 32
2 TREE-LEVEL TECHNIQUES 35
2.1 BRITTO-CACHAZO-FENG-WITTEN (BCFW) ON-SHELL RECURSION .... 35
2.2 THE GLUON THREE-POINT AMPLITUDE 42
2.3 AN EXAMPLE: MHV AMPLITUDES 43
2.4 FACTORIZATION PROPERTIES OF TREE-LEVEL AMPLITUDES 45
2.4.1 FACTORIZATION ON MULTI-PARTICLE POLES 46
2.4.2 ABSENCE OF MULTI-PARTICLE POLES IN MHV AMPLITUDES . . 46
2.4.3 COLLINEAR LIMITS 46
2.4.4 SOFT LIMIT 48
2.5 ON-SHELL RECURSION FOR AMPLITUDES WITH MASSIVE PARTICLES .... 50
2.6 POINCARE AND CONFORMAL SYMMETRY 55
2.7 JV = 4 SUPER YANG-MILLS THEORY 59
2.7.1 ON-SHELL SUPERSPACE AND SUPERFIELDS 61
2.1.2 SUPERCONFORMAL SYMMETRY 63
XIII
HTTP://D-NB.INFO/1045474983
XIV CONTENTS
2.7.3 SUPER-AMPLITUDES, AND EXTRACTION OF COMPONENTS .... 65
2.7.4 SUPER BCFW-RECURSION 68
2.7.5 THREE-POINT SUPER-AMPLITUDES 70
2.7.6 SOLVING THE SUPER-BCFW RECURSION: MHV CASE 71
2.7.7 SOLVING THE SUPER-BCFW RECURSION: NMHV CASE .... 74
2.8 REFERENCES AND
FURTHER READING 78
REFERENCES 79
3 LOOP-LEVEL STRUCTURE 81
3.1 INTRODUCTION 81
3.2 CONVENTIONS FOR MINKOWSKI-SPACE INTEGRALS 82
3.3 GENERAL REMARKS, ULTRAVIOLET AND INFRARED DIVERGENCES 84
3.3.1 ULTRAVIOLET DIVERGENCES 86
3.3.2 INFRARED DIVERGENCES 86
3.3.3 REGULARIZATION SCHEME 87
3.4 INTEGRAL REDUCTION 88
3.4.1 THE VAN NEERVEN-VERMASEREN BASIS 90
3.4.2 REDUCTION OF THE INTEGRAND IN D = 4 * 2E DIMENSIONS . . 92
3.4.3 HIGHER DIMENSIONAL LOOP MOMENTUM INTEGRATION .... 97
3.4.4 AN EXAMPLE: THE PHOTON SELF-ENERGY IN MASSLESS QED . 99
3.5 UNITARITY 102
3.5.1 TWO-PARTICLE CUTS OF THE FOUR GLUON AMPLITUDE 103
3.5.2 GENERALIZED UNITARITY AND HIGHER-ORDER CUTS 112
3.5.3 RATIONAL PART: ALL-PLUS HELICITY AMPLITUDES 121
3.5.4 AN EXAMPLE: HIGGS PRODUCTION VIA GLUON FUSION .... 123
3.6 OVERVIEW OF INTEGRATION TECHNIQUES FOR LOOP INTEGRALS 127
3.6.1 NOTATION AND DUAL COORDINATES 128
3.6.2 FEYNMAN PARAMETRIZATION 129
3.7 MELLIN-BARNES TECHNIQUES 131
3.7.1 RESOLUTION OF SINGULARITIES IN 133
3.7.2 ASYMPTOTIC EXPANSIONS AND RESUMMATION 134
3.7.3 NUMERICAL EVALUATION AND CONVERGENCE 135
3.8 INTEGRATION BY PARTS AND DIFFERENTIAL EQUATIONS 136
3.8.1 INTEGRATION BY PARTS IDENTITIES 136
3.8.2 DIFFERENTIAL EQUATIONS 137
3.8.3 SIMPLIFIED APPROACH TO DIFFERENTIA] EQUATIONS 139
3.9 REFERENCES AND FURTHER READING 141
REFERENCES 143
4 ADVANCED TOPICS 147
4.1 RECURSION RELATIONS FOR LOOP INTEGRANDS 147
4.2 SCATTERING AMPLITUDES IN JF = 4 SUPER YANG-MILLS 152
4.3 WILSON LOOP/SCATTERING AMPLITUDE DUALITY 153
4.4 (DUAL) CONFORMAL SYMMETRY 158
4.4.1 CONFORMAL WARD IDENTITIES FOR CUSPED WILSON LOOPS . . 158
4.4.2 DUAL CONFORMAL SYMMETRY OF SCATTERING AMPLITUDES . . 160
CONTENTS XV
4.5 DUAL SUPERCONFORMAL AND YANGIAN SYMMETRY 162
4.6 FROM CORRELATION FUNCTIONS TO WILSON LOOPS AND SCATTERING
AMPLITUDES 165
4.7 REFERENCES AND FURTHER READING 167
REFERENCES 167
APPENDIX A RENORMALIZATION PROPERTIES OF WILSON LOOPS 171
REFERENCES 173
APPENDIX B CONVENTIONS AND USEFUL FORMULAE 175
SOLUTIONS TO THE EXERCISES 177
REFERENCES 195
|
| any_adam_object | 1 |
| author | Henn, Johannes M. 1980- Plefka, Jan C. 1968- |
| author_GND | (DE-588)1100738479 (DE-588)1048588297 |
| author_facet | Henn, Johannes M. 1980- Plefka, Jan C. 1968- |
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| author_sort | Henn, Johannes M. 1980- |
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| building | Verbundindex |
| bvnumber | BV041744346 |
| classification_rvk | UD 8220 UO 4060 |
| ctrlnum | (OCoLC)871212233 (DE-599)BVBBV041744346 |
| discipline | Physik |
| format | Book |
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| id | DE-604.BV041744346 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:04:21Z |
| institution | BVB |
| isbn | 9783642540219 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027190868 |
| oclc_num | 871212233 |
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| owner | DE-384 DE-11 DE-19 DE-BY-UBM DE-20 |
| owner_facet | DE-384 DE-11 DE-19 DE-BY-UBM DE-20 |
| physical | XV, 195 Seiten Diagramme |
| publishDate | 2014 |
| publishDateSearch | 2014 |
| publishDateSort | 2014 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in physics |
| series2 | Lecture notes in physics |
| spelling | Henn, Johannes M. 1980- Verfasser (DE-588)1100738479 aut Scattering amplitudes in Gauge theories Johannes M. Henn ; Jan C. Plefka Heidelberg ; Berlin Springer [2014] XV, 195 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Lecture notes in physics 883 Streuamplitude (DE-588)4183685-6 gnd rswk-swf Quantenfeldtheorie (DE-588)4047984-5 gnd rswk-swf Quantenfeldtheorie (DE-588)4047984-5 s Streuamplitude (DE-588)4183685-6 s DE-604 Plefka, Jan C. 1968- Verfasser (DE-588)1048588297 aut Erscheint auch als Online-Ausgabe Scattering Amplitudes in Gauge Theories 978-3-642-54022-6 (DE-604)BV041724130 Lecture notes in physics 883 (DE-604)BV000003166 883 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027190868&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Henn, Johannes M. 1980- Plefka, Jan C. 1968- Scattering amplitudes in Gauge theories Lecture notes in physics Streuamplitude (DE-588)4183685-6 gnd Quantenfeldtheorie (DE-588)4047984-5 gnd |
| subject_GND | (DE-588)4183685-6 (DE-588)4047984-5 |
| title | Scattering amplitudes in Gauge theories |
| title_auth | Scattering amplitudes in Gauge theories |
| title_exact_search | Scattering amplitudes in Gauge theories |
| title_full | Scattering amplitudes in Gauge theories Johannes M. Henn ; Jan C. Plefka |
| title_fullStr | Scattering amplitudes in Gauge theories Johannes M. Henn ; Jan C. Plefka |
| title_full_unstemmed | Scattering amplitudes in Gauge theories Johannes M. Henn ; Jan C. Plefka |
| title_short | Scattering amplitudes in Gauge theories |
| title_sort | scattering amplitudes in gauge theories |
| topic | Streuamplitude (DE-588)4183685-6 gnd Quantenfeldtheorie (DE-588)4047984-5 gnd |
| topic_facet | Streuamplitude Quantenfeldtheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027190868&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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