Concepts in quantum field theory: a practitioner's toolkit
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cham [u.a.]
Springer
2016
|
| Schriftenreihe: | UNITEXT for Physics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIII, 190 S. graph. Darst. |
| ISBN: | 9783319229652 9783319229669 |
Internformat
MARC
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Datensatz im Suchindex
| _version_ | 1804175173654413312 |
|---|---|
| adam_text | Titel: Concepts in quantum field theory
Autor: Ilisie, Victor
Jahr: 2016
Contents
1 Vectors, Tensors, Manifolds and Special Relativity........................1
1.1 Tensor Algebra....................................................................1
1.2 Tensor Calculus..................................................................12
1.3 Manifolds..........................................................................15
1.4 Comments on Special Relativity............................................22
Further Reading............................................................................27
2 Lagrangians, Hamiltonians and Noether s Theorem......................29
2.1 Lagragian Formalism............................................................29
2.2 Noether s Theorem..............................................................31
2.3 Examples............................................................................32
2.4 Hamiltonian Formalism........................................................35
2.5 Continuous Systems............................................................36
2.6 Hamiltonian Formalism........................................................39
2.7 Noether s Theorem (The General Formulation)........................40
2.8 Examples............................................................................43
Further Reading............................................................................46
3 Relativistic Kinematics and Phase Space......................................47
3.1 Conventions and Notations....................................................47
3.2 Process: a — 1+2..............................................................48
3.3 Process: a— 1+2 + 3........................................................49
3.4 Process: 1+2— 3+4........................................................50
3.5 Lorentz Invariant Phase Space..............................................52
Further Reading............................................................................55
4 Angular Distributions..................................................................57
4.1 Three Body Angular Distributions..........................................57
4.2 Four Body Angular Distributions..........................................61
Further Reading............................................................................67
XI
xii Contents
5 Dirac Algebra..............................................................................69
5.1 Dirac Matrices....................................................................69
5.2 Dirac Traces........................................................................71
5.3 Spinors and Lorentz Transformations......................................72
5.4 Quantum Electrodynamics....................................................74
Further Reading............................................................................83
6 Dimensional Regularization. Ultraviolet and Infrared
Divergences................................................................................85
6.1 Master Integral....................................................................85
6.2 Useful Results....................................................................87
6.3 Example: Cancellation of UV Divergences..............................88
6.4 Feynman Parametrization......................................................89
6.5 Example: UV Pole..............................................................91
6.6 Example: IR Poles..............................................................91
Further Reading............................................................................93
7 QED Renormalization..................................................................95
7.1 QED Lagrangian..................................................................95
7.2 Fermionic Propagator, Mass and Field Renormalization............95
7.3 Bosonic Propagator and Field Renormalization........................97
7.4 Vertex Correction................................................................98
7.5 Renormalization to All Orders..............................................99
7.6 One-Loop Renormalization Example......................................102
7.7 Renormalization and Tadpoles..............................................109
Further Reading............................................................................Ill
8 One-Loop Two and Three-Point Functions....................................113
8.1 Two-Point Function............................................................113
8.2 IR Divergences and the Two-Point Function..........................117
8.3 Three-Point Function............................................................120
8.4 IR Divergences and the Three-Point Function..........................123
8.5 Two and Three-Body Phase Space in D Dimensions................127
8.6 Cancellation of IR Divergences............................................128
8.7 Introduction to Two-Loops....................................................136
Further Reading............................................................................140
9 Massive Spin One and Renormalizable Gauges............................141
9.1 Unitary Gauge....................................................................141
9.2 Rc Gauges..........................................................................144
9.3 Gauge Fixing Lagrangian and Renormalization........................147
Further Reading............................................................................155
Contents xiii
10 Symmetries and Effective Vertices................................................157
10.1 Higgs Decay to a Pair of Photons..........................................157
Further Reading............................................................................161
11 Effective Field Theory..................................................................163
11.1 Effective Lagrangian............................................................163
11.2 Renormalization Group Equations..........................................164
11.3 Matching............................................................................167
Further Reading............................................................................172
12 Optical Theorem..........................................................................173
12.1 Optical Theorem Deduction..................................................173
12.2 One-Loop Example..............................................................176
Further Reading............................................................................178
Appendix A: Master Integral..............................................................179
Appendix B: Renormalization Group Equations..................................183
Appendix C: Feynman Rules for Derivative Couplings........................189
|
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| indexdate | 2024-07-10T07:12:05Z |
| institution | BVB |
| isbn | 9783319229652 9783319229669 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028315066 |
| oclc_num | 927111646 |
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| physical | XIII, 190 S. graph. Darst. |
| publishDate | 2016 |
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| series2 | UNITEXT for Physics |
| spelling | Ilisie, Victor Verfasser (DE-588)1076838022 aut Concepts in quantum field theory a practitioner's toolkit Victor Ilisie Cham [u.a.] Springer 2016 XIII, 190 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier UNITEXT for Physics Quantentheorie Physics Quantum theory Quantenfeldtheorie (DE-588)4047984-5 gnd rswk-swf Quantenfeldtheorie (DE-588)4047984-5 s DE-604 Erscheint auch als Online-Ausgabe 10.1007/978-3-319-22966-9 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028315066&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ilisie, Victor Concepts in quantum field theory a practitioner's toolkit Quantentheorie Physics Quantum theory Quantenfeldtheorie (DE-588)4047984-5 gnd |
| subject_GND | (DE-588)4047984-5 |
| title | Concepts in quantum field theory a practitioner's toolkit |
| title_auth | Concepts in quantum field theory a practitioner's toolkit |
| title_exact_search | Concepts in quantum field theory a practitioner's toolkit |
| title_full | Concepts in quantum field theory a practitioner's toolkit Victor Ilisie |
| title_fullStr | Concepts in quantum field theory a practitioner's toolkit Victor Ilisie |
| title_full_unstemmed | Concepts in quantum field theory a practitioner's toolkit Victor Ilisie |
| title_short | Concepts in quantum field theory |
| title_sort | concepts in quantum field theory a practitioner s toolkit |
| title_sub | a practitioner's toolkit |
| topic | Quantentheorie Physics Quantum theory Quantenfeldtheorie (DE-588)4047984-5 gnd |
| topic_facet | Quantentheorie Physics Quantum theory Quantenfeldtheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028315066&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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