The pinch technique and its applications to non-Abelian gauge theories:
Non-Abelian gauge theories, such as quantum chromodynamics (QCD) or electroweak theory, are best studied with the aid of Green's functions that are gauge-invariant off-shell, but unlike for the photon in quantum electrodynamics, conventional graphical constructions fail. The Pinch Technique pro...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2011
|
| Series: | Cambridge monographs on particle physics, nuclear physics, and cosmology
31 |
| Subjects: | |
| Online Access: | BSB01 FHN01 Volltext |
| Summary: | Non-Abelian gauge theories, such as quantum chromodynamics (QCD) or electroweak theory, are best studied with the aid of Green's functions that are gauge-invariant off-shell, but unlike for the photon in quantum electrodynamics, conventional graphical constructions fail. The Pinch Technique provides a systematic framework for constructing such Green's functions, and has many useful applications. Beginning with elementary one-loop examples, this book goes on to extend the method to all orders, showing that the Pinch Technique is equivalent to calculations in the background field Feynman gauge. The Pinch Technique Schwinger-Dyson equations are derived, and used to show how a dynamical gluon mass arises in QCD. Applications are given to the center vortex picture of confinement, the gauge-invariant treatment of resonant amplitudes, the definition of non-Abelian effective charges, high-temperature effects, and even supersymmetry. This book is ideal for elementary particle theorists and graduate students |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 online resource (xvii, 286 pages) |
| ISBN: | 9780511763038 |
| DOI: | 10.1017/CBO9780511763038 |
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| 505 | 8 | |a Introduction: why the pinch technique -- The Pinch Technique at one loop -- Advanced pinch technique: still one loop -- Pinch technique to all orders -- The pinch technique in the Batalin-Vilkovisky framework -- The gauge technique -- Schwinger-Dyson equations in the pinch technique framework -- Nonperturbative gluon mass and quantum solitons -- Nexuses, sphalerons, and fractional topological charge -- A brief summary of d=3 NAGTs -- The pinch technique for electroweak theory -- Other applications of the pinch technique | |
| 520 | |a Non-Abelian gauge theories, such as quantum chromodynamics (QCD) or electroweak theory, are best studied with the aid of Green's functions that are gauge-invariant off-shell, but unlike for the photon in quantum electrodynamics, conventional graphical constructions fail. The Pinch Technique provides a systematic framework for constructing such Green's functions, and has many useful applications. Beginning with elementary one-loop examples, this book goes on to extend the method to all orders, showing that the Pinch Technique is equivalent to calculations in the background field Feynman gauge. The Pinch Technique Schwinger-Dyson equations are derived, and used to show how a dynamical gluon mass arises in QCD. Applications are given to the center vortex picture of confinement, the gauge-invariant treatment of resonant amplitudes, the definition of non-Abelian effective charges, high-temperature effects, and even supersymmetry. This book is ideal for elementary particle theorists and graduate students | ||
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| contents | Introduction: why the pinch technique -- The Pinch Technique at one loop -- Advanced pinch technique: still one loop -- Pinch technique to all orders -- The pinch technique in the Batalin-Vilkovisky framework -- The gauge technique -- Schwinger-Dyson equations in the pinch technique framework -- Nonperturbative gluon mass and quantum solitons -- Nexuses, sphalerons, and fractional topological charge -- A brief summary of d=3 NAGTs -- The pinch technique for electroweak theory -- Other applications of the pinch technique |
| ctrlnum | (ZDB-20-CBO)CR9780511763038 (OCoLC)839009012 (DE-599)BVBBV043941774 |
| dewey-full | 530.14/35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.14/35 |
| dewey-search | 530.14/35 |
| dewey-sort | 3530.14 235 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| doi_str_mv | 10.1017/CBO9780511763038 |
| format | Electronic eBook |
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| id | DE-604.BV043941774 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:16Z |
| institution | BVB |
| isbn | 9780511763038 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029350744 |
| oclc_num | 839009012 |
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| owner | DE-12 DE-92 |
| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (xvii, 286 pages) |
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| publishDate | 2011 |
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| publisher | Cambridge University Press |
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| 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 The Pinch Technique & its Applications to Non-Abelian Gauge Theories Cambridge Cambridge University Press 2011 1 online resource (xvii, 286 pages) txt rdacontent c rdamedia cr rdacarrier Cambridge monographs on particle physics, nuclear physics, and cosmology 31 Title from publisher's bibliographic system (viewed on 05 Oct 2015) Introduction: why the pinch technique -- The Pinch Technique at one loop -- Advanced pinch technique: still one loop -- Pinch technique to all orders -- The pinch technique in the Batalin-Vilkovisky framework -- The gauge technique -- Schwinger-Dyson equations in the pinch technique framework -- Nonperturbative gluon mass and quantum solitons -- Nexuses, sphalerons, and fractional topological charge -- A brief summary of d=3 NAGTs -- The pinch technique for electroweak theory -- Other applications of the pinch technique Non-Abelian gauge theories, such as quantum chromodynamics (QCD) or electroweak theory, are best studied with the aid of Green's functions that are gauge-invariant off-shell, but unlike for the photon in quantum electrodynamics, conventional graphical constructions fail. The Pinch Technique provides a systematic framework for constructing such Green's functions, and has many useful applications. Beginning with elementary one-loop examples, this book goes on to extend the method to all orders, showing that the Pinch Technique is equivalent to calculations in the background field Feynman gauge. The Pinch Technique Schwinger-Dyson equations are derived, and used to show how a dynamical gluon mass arises in QCD. Applications are given to the center vortex picture of confinement, the gauge-invariant treatment of resonant amplitudes, the definition of non-Abelian effective charges, high-temperature effects, and even supersymmetry. This book is ideal for elementary particle theorists and graduate students Mathematik Quantum chromodynamics / Mathematics Gauge fields (Physics) / Mathematics Green's functions Gauge invariance Nichtabelsche Eichtheorie (DE-588)4338328-2 gnd rswk-swf Nichtabelsche Eichtheorie (DE-588)4338328-2 s 1\p DE-604 Papavassiliou, Joannis Sonstige oth Binosi, Daniele Sonstige oth Erscheint auch als Druckausgabe 978-0-521-43752-3 https://doi.org/10.1017/CBO9780511763038 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Cornwall, John M. The pinch technique and its applications to non-Abelian gauge theories Introduction: why the pinch technique -- The Pinch Technique at one loop -- Advanced pinch technique: still one loop -- Pinch technique to all orders -- The pinch technique in the Batalin-Vilkovisky framework -- The gauge technique -- Schwinger-Dyson equations in the pinch technique framework -- Nonperturbative gluon mass and quantum solitons -- Nexuses, sphalerons, and fractional topological charge -- A brief summary of d=3 NAGTs -- The pinch technique for electroweak theory -- Other applications of the pinch technique Mathematik Quantum chromodynamics / Mathematics Gauge fields (Physics) / Mathematics Green's functions Gauge invariance 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_alt | The Pinch Technique & 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 | Mathematik Quantum chromodynamics / Mathematics Gauge fields (Physics) / Mathematics Green's functions Gauge invariance Nichtabelsche Eichtheorie (DE-588)4338328-2 gnd |
| topic_facet | Mathematik Quantum chromodynamics / Mathematics Gauge fields (Physics) / Mathematics Green's functions Gauge invariance Nichtabelsche Eichtheorie |
| url | https://doi.org/10.1017/CBO9780511763038 |
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