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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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Cambridge, United Kingdom ; New York, NY, USA ; Port Melbourne, VIC, Australia ; New Delhi, India ; Singapore
Cambridge University Press
[2011]
|
Schriftenreihe: | Cambridge monographs on particle physics, nuclear physics, and cosmology
31 |
Schlagworte: | |
Online-Zugang: | Volltext |
Zusammenfassung: | 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 |
Beschreibung: | First published 2011, reissued as OA 2023 |
Beschreibung: | 1 Online-Ressource (xvii, 286 Seiten) Illustrationen |
ISBN: | 9781009402415 |
DOI: | 10.1017/9781009402415 |
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490 | 1 | |a Cambridge monographs on particle physics, nuclear physics, and cosmology |v 31 | |
500 | |a First published 2011, reissued as OA 2023 | ||
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 | ||
650 | 4 | |a Mathematik | |
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author | Cornwall, John M. |
author_GND | (DE-588)143685104 (DE-588)139166823 (DE-588)139166920 |
author_facet | Cornwall, John M. |
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author_sort | Cornwall, John M. |
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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 | (OCoLC)1401196396 (DE-599)BVBBV049318362 |
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 |
discipline_str_mv | Physik |
doi_str_mv | 10.1017/9781009402415 |
format | Electronic eBook |
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isbn | 9781009402415 |
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spelling | Cornwall, John M. Verfasser (DE-588)143685104 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, United Kingdom ; New York, NY, USA ; Port Melbourne, VIC, Australia ; New Delhi, India ; Singapore Cambridge University Press [2011] © 2011 1 Online-Ressource (xvii, 286 Seiten) Illustrationen txt rdacontent c rdamedia cr rdacarrier Cambridge monographs on particle physics, nuclear physics, and cosmology 31 First published 2011, reissued as OA 2023 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 (DE-588)139166823 oth Binosi, Daniele Sonstige (DE-588)139166920 oth Erscheint auch als Druck-Ausgabe, Hardcover 978-1-009-40244-6 Erscheint auch als Druck-Ausgabe, Paperback 978-1-009-40243-9 Cambridge monographs on particle physics, nuclear physics, and cosmology 31 (DE-604)BV043217405 31 https://doi.org/10.1017/9781009402415 Verlag kostenfrei 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 Cambridge monographs on particle physics, nuclear physics, and cosmology 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_exact_search_txtP | 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/10.1017/9781009402415 |
volume_link | (DE-604)BV043217405 |
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