The pinch technique and its applications to non-Abelian gauge theories:
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge
Cambridge Univ. Press
2011
|
| Edition: | 1. publ. |
| Series: | Cambridge monographs on particle physics, nuclear physics, and cosmology
31 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVII, 286 S. Ill., graph. Darst. |
| ISBN: | 9780521437523 |
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MARC
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| 245 | 1 | 0 | |a The pinch technique and its applications to non-Abelian gauge theories |c John M. Cornwall, Joannis Papavassiliou, Daniele Binosi |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Cambridge |b Cambridge Univ. Press |c 2011 | |
| 300 | |a XVII, 286 S. |b Ill., graph. Darst. | ||
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Record in the Search Index
| _version_ | 1804143800599183360 |
|---|---|
| adam_text | Contents
Introduction:
Why the pinch technique? page
xi
1
The pinch technique at one loop
1
1.1 Abrief
history
1
1.2
Notation and conventions
3
1.3
The basic one-loop pinch technique
6
1.4
Another way to the pinch technique
17
1.5
Pinch technique vertices
20
1.6
The pinch technique in the light-cone gauge
31
1
.7
The absorptive pinch technique construction
34
1.8
Positivity
and the pinch technique gluon propagator
42
References
43
2
Advanced pinch technique: Still one loop
45
2.1
The pinch technique and the operator product expansion: Running
mass and condensates
45
2.2
The pinch technique and gauge-boson mass generation
47
2.3
The pinch technique today: Background-field Feynman gauge
62
2.4
What to expect beyond one loop
72
References
73
3
Pinch technique to all orders
75
3.1
The s-t cancellation to all orders
75
3.2
Quark-gluon vertex and gluon propagator to all orders
79
References
85
VII
viii Contents
4
The pinch technique in the Batalin-Vilkovisky framework
86
4.1
An overview of the Batalin-Vilkovisky formalism
88
4.2
Examples
93
4.3
Pinching in the Batalin-Vilkovisky framework
100
References
102
5
The gauge technique
104
5.1
The original gauge technique for QED
105
5.2
Massless longitudinal poles
108
5.3
The gauge technique for NAGTs
109
References
113
6
Schwinger-Dyson equations in the pinch technique
framework
114
6.1
Lattice studies of gluon mass generation
115
6.2
The need for a gauge-invariant truncation scheme for the
Schwinger-Dyson equations of NAGTs
117
6.3
The pinch technique algorithm for Schwinger-Dyson equations
1 19
6.4
Pinch technique Green s functions from Schwinger-Dyson equations
120
6.5
Solutions of the pinch technique Schwinger-Dyson equations and
comparison with lattice data
131
6.6
The QCD effective charge
134
References
141
7
Nonperturbative gluon mass and quantum solitons
144
7.1
Notation
144
7.2
Introduction
144
7.3
The quantum solitons
150
7.4
The center vortex soliton
152
References
165
8
Nexuses, sphalerons, and fractional topological charge
167
8.1
Introduction to nexuses and junctions
167
8.2
Nexuses in SU(N)
[70
8.3
The QCD sphaleron
181
8.4
Chiral symmetry breakdown, nexuses, and fractional topological charge
186
References
188
9
A brief summary of
d
= 3
NAGTs
190
9.1
Introduction
190
Contents ix
9.2 Perturbative
infrared instability
193
9.3
The exact form of the zero-momentum effective action
193
9.4
The dynamical gauge-boson mass
197
9.5
The functional
Schrödinger
equation
201
9.6
Dynamical gluon mass versus the Chern-Simons mass: Two phases
209
9.7
Compactness and the Chern-Simons number of YMCS solitons
216
References
223
10
The pinch technique for electroweak theory
226
10.1
General considerations
227
10.2
The case of massless
fermions
229
10.3
Nonconserved currents and Ward identities
242
10.4
The all-order construction
246
References
248
11
Other applications of the pinch technique
250
11.1
Introduction
250
11.2
Non-Abelian effective charges
250
11.3
Physical renormalization schemes versus MS
255
11.4
Gauge-independent off-shell form factors
256
11.5
Resummation formalism for resonant transition amplitudes
263
11.6
The pinch technique at finite temperature
270
11.7
Basic principles of thermal field theory
271
11.8
Hints of supersymmetry in the pinch technique Green s functions
276
References
278
Appendix: Feynman rules
281
Index
285
|
| any_adam_object | 1 |
| author | Cornwall, John M. Papavassiliou, Joannis Binosi, Daniele |
| author_GND | (DE-588)139166823 (DE-588)139166920 |
| author_facet | Cornwall, John M. Papavassiliou, Joannis Binosi, Daniele |
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| author_sort | Cornwall, John M. |
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| bvnumber | BV037208589 |
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| ctrlnum | (OCoLC)711806108 (DE-599)BVBBV037208589 |
| discipline | Physik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV037208589 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:53:25Z |
| institution | BVB |
| isbn | 9780521437523 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-021122748 |
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| owner_facet | DE-355 DE-BY-UBR DE-19 DE-BY-UBM |
| physical | XVII, 286 S. Ill., graph. Darst. |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| series | Cambridge monographs on particle physics, nuclear physics, and cosmology |
| series2 | Cambridge monographs on particle physics, nuclear physics, and cosmology |
| spelling | Cornwall, John M. Verfasser aut The pinch technique and its applications to non-Abelian gauge theories John M. Cornwall, Joannis Papavassiliou, Daniele Binosi 1. publ. Cambridge Cambridge Univ. Press 2011 XVII, 286 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Cambridge monographs on particle physics, nuclear physics, and cosmology 31 Nichtabelsche Eichtheorie (DE-588)4338328-2 gnd rswk-swf Nichtabelsche Eichtheorie (DE-588)4338328-2 s DE-604 Papavassiliou, Joannis Verfasser (DE-588)139166823 aut Binosi, Daniele Verfasser (DE-588)139166920 aut Cambridge monographs on particle physics, nuclear physics, and cosmology 31 (DE-604)BV005321866 31 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021122748&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Cornwall, John M. Papavassiliou, Joannis Binosi, Daniele The pinch technique and its applications to non-Abelian gauge theories Cambridge monographs on particle physics, nuclear physics, and cosmology Nichtabelsche Eichtheorie (DE-588)4338328-2 gnd |
| subject_GND | (DE-588)4338328-2 |
| title | The pinch technique and its applications to non-Abelian gauge theories |
| title_auth | The pinch technique and its applications to non-Abelian gauge theories |
| title_exact_search | The pinch technique and its applications to non-Abelian gauge theories |
| title_full | The pinch technique and its applications to non-Abelian gauge theories John M. Cornwall, Joannis Papavassiliou, Daniele Binosi |
| title_fullStr | The pinch technique and its applications to non-Abelian gauge theories John M. Cornwall, Joannis Papavassiliou, Daniele Binosi |
| title_full_unstemmed | The pinch technique and its applications to non-Abelian gauge theories John M. Cornwall, Joannis Papavassiliou, Daniele Binosi |
| title_short | The pinch technique and its applications to non-Abelian gauge theories |
| title_sort | the pinch technique and its applications to non abelian gauge theories |
| topic | Nichtabelsche Eichtheorie (DE-588)4338328-2 gnd |
| topic_facet | Nichtabelsche Eichtheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021122748&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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