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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Bibliographic Details
Main Author: Cornwall, John M.
Other Authors: Papavassiliou, Joannis, Binosi, Daniele
Format: eBook
Language:English
Published: Cambridge University Press 2011
Subjects:
Online Access:
Collection: Directory of Open Access Books - Collection details see MPG.ReNa
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653 |a fractional topological charge 
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653 |a electroweak theory 
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653 |a sphalerons 
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653 |a non-perturbative gluon mass 
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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 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.