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oapen-20.500.12657-640092023-07-20T02:49:57Z 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 bic Book Industry Communication::P Mathematics & 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. 2023-07-19T14:17:05Z 2023-07-19T14:17:05Z 2011 book ONIX_20230719_9781009402415_8 9781009402415 https://library.oapen.org/handle/20.500.12657/64009 eng application/pdf Attribution-NonCommercial-NoDerivatives 4.0 International 9781009402415.pdf Cambridge University Press 10.1017/9781009402415 10.1017/9781009402415 7607a2d0-47af-490f-9d2a-8c9340266f8a c2fbf30c-ef0f-473b-8ee4-03e135ae04d0 9781009402415 SCOAP3 for Books [...] SCOAP3 open access
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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.
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