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 provides...
Wedi'i Gadw mewn:
| Prif Awduron: | , , |
|---|---|
| Fformat: | Online |
| Iaith: | Saesneg |
| Cyhoeddwyd: |
Cambridge University Press
2023
|
| Pynciau: | |
| Mynediad Ar-lein: | ONIX_20230719_9781009402415_8 |
| Tagiau: |
Dim Tagiau, Byddwch y cyntaf i dagio'r cofnod hwn!
|
| _version_ | 1869526319461564416 |
|---|---|
| author | Cornwall, John M. Papavassiliou, Joannis Binosi, Daniele |
| author_browse | Binosi, Daniele Cornwall, John M. Papavassiliou, Joannis |
| author_facet | Cornwall, John M. Papavassiliou, Joannis Binosi, Daniele |
| author_sort | Cornwall, John M. |
| collection | Directory of Open Access Books |
| description | 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 Schwinger–Dyson equations are derived within the pinch technique framework, and are used to show how a dynamical gluon mass arises in QCD. Finally the volume turns to its many applications. This book is ideal for elementary particle theorists and graduate students. |
| format | Online |
| id | doab-20.500.12854ir-107829 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2023 |
| publishDateRange | 2023 |
| publishDateSort | 2023 |
| publisher | Cambridge University Press |
| publisherStr | Cambridge University Press |
| record_format | ojs |
| spelling | doab-20.500.12854ir-1078292025-07-17T10:01:18Z The Pinch Technique and its Applications to Non-Abelian Gauge Theories Cornwall, John M. Papavassiliou, Joannis Binosi, Daniele pinch technique one loop Batalin–Vilkovisky framework gauge technique Schwinger–Dyson equations non-perturbative gluon mass quantum solitons nexuses sphalerons fractional topological charge electroweak theory thema EDItEUR::P Mathematics and Science::PH Physics::PHN Nuclear physics thema EDItEUR::P Mathematics and Science::PH Physics::PHN Nuclear physics 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 Schwinger–Dyson equations are derived within the pinch technique framework, and are used to show how a dynamical gluon mass arises in QCD. Finally the volume turns to its many applications. This book is ideal for elementary particle theorists and graduate students. 2023-07-26T15:55:41Z 2023-07-26T15:55:41Z 2023-07-19T14:17:05Z 2011 book ONIX_20230719_9781009402415_8 OCN: 1374925879 https://library.oapen.org/handle/20.500.12657/64009 9781009402415 https://directory.doabooks.org/handle/20.500.12854/107829 eng open access image/jpeg image/jpeg image/jpeg Attribution-NonCommercial-NoDerivatives 4.0 International Attribution-NonCommercial-NoDerivatives 4.0 International Attribution-NonCommercial-NoDerivatives 4.0 International https://library.oapen.org/bitstream/20.500.12657/64009/1/9781009402415.pdf https://library.oapen.org/bitstream/20.500.12657/64009/1/9781009402415.pdf https://library.oapen.org/bitstream/20.500.12657/64009/1/9781009402415.pdf Cambridge University Press 10.1017/9781009402415 10.1017/9781009402415 12615a55-20f1-4eb5-a6c9-5eb6541f63e5 SCOAP3 c2fbf30c-ef0f-473b-8ee4-03e135ae04d0 9781009402415 SCOAP3 for Books [...] open access |
| spellingShingle | pinch technique one loop Batalin–Vilkovisky framework gauge technique Schwinger–Dyson equations non-perturbative gluon mass quantum solitons nexuses sphalerons fractional topological charge electroweak theory thema EDItEUR::P Mathematics and Science::PH Physics::PHN Nuclear physics thema EDItEUR::P Mathematics and Science::PH Physics::PHN Nuclear physics Cornwall, John M. Papavassiliou, Joannis Binosi, Daniele The Pinch Technique and its Applications to Non-Abelian Gauge Theories |
| title | The Pinch Technique and its Applications to Non-Abelian Gauge Theories |
| title_full | The Pinch Technique and its Applications to Non-Abelian Gauge Theories |
| title_fullStr | The Pinch Technique and its Applications to Non-Abelian Gauge Theories |
| title_full_unstemmed | The Pinch Technique and its Applications to Non-Abelian Gauge Theories |
| title_short | The Pinch Technique and its Applications to Non-Abelian Gauge Theories |
| title_sort | pinch technique and its applications to non abelian gauge theories |
| topic | pinch technique one loop Batalin–Vilkovisky framework gauge technique Schwinger–Dyson equations non-perturbative gluon mass quantum solitons nexuses sphalerons fractional topological charge electroweak theory thema EDItEUR::P Mathematics and Science::PH Physics::PHN Nuclear physics thema EDItEUR::P Mathematics and Science::PH Physics::PHN Nuclear physics |
| topic_facet | pinch technique one loop Batalin–Vilkovisky framework gauge technique Schwinger–Dyson equations non-perturbative gluon mass quantum solitons nexuses sphalerons fractional topological charge electroweak theory thema EDItEUR::P Mathematics and Science::PH Physics::PHN Nuclear physics thema EDItEUR::P Mathematics and Science::PH Physics::PHN Nuclear physics |
| url | ONIX_20230719_9781009402415_8 |
| work_keys_str_mv | AT cornwalljohnm thepinchtechniqueanditsapplicationstononabeliangaugetheories AT papavassilioujoannis thepinchtechniqueanditsapplicationstononabeliangaugetheories AT binosidaniele thepinchtechniqueanditsapplicationstononabeliangaugetheories AT cornwalljohnm pinchtechniqueanditsapplicationstononabeliangaugetheories AT papavassilioujoannis pinchtechniqueanditsapplicationstononabeliangaugetheories AT binosidaniele pinchtechniqueanditsapplicationstononabeliangaugetheories |