The pinch technique and its applications to non-Abelian gauge theories /
Cornwall, John M.,
The pinch technique and its applications to non-Abelian gauge theories / John M. Cornwall, Joannis Papavassiliou, Daniele Binosi. - 1 online resource (xvii, 279 pages) : illustrations (black and white), digital, PDF file(s). - Cambridge monographs on particle physics, nuclear physics and cosmology ; 31 . - Cambridge monographs on particle physics, nuclear physics and cosmology ; 31. .
Previously issued in print: 2011.
Includes bibliographical references.
Open access.
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. This 2011 title has been reissued as an Open Access publication on Cambridge Core.
Specialized.
9781009402415 No price No price No price
10.1017/9781009402415 doi
Gauge fields (Physics)
Non-Abelian groups.
Green's functions.
QC174.17.G68 / C6 2023
530.1435
The pinch technique and its applications to non-Abelian gauge theories / John M. Cornwall, Joannis Papavassiliou, Daniele Binosi. - 1 online resource (xvii, 279 pages) : illustrations (black and white), digital, PDF file(s). - Cambridge monographs on particle physics, nuclear physics and cosmology ; 31 . - Cambridge monographs on particle physics, nuclear physics and cosmology ; 31. .
Previously issued in print: 2011.
Includes bibliographical references.
Open access.
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. This 2011 title has been reissued as an Open Access publication on Cambridge Core.
Specialized.
9781009402415 No price No price No price
10.1017/9781009402415 doi
Gauge fields (Physics)
Non-Abelian groups.
Green's functions.
QC174.17.G68 / C6 2023
530.1435