The Pinch Technique and its Applications to Non-Abelian Gauge Theories
Revised
Book Details
Format
Hardback or Cased Book
ISBN-10
1009402447
ISBN-13
9781009402446
Edition
Revised
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Jul 27th, 2023
Print length
306 Pages
Weight
71 grams
Dimensions
25.00 x 17.50 x 2.20 cms
Product Classification:
Particle & high-energy physicsParticle and high-energy physics
Ksh 17,100.00
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This monograph describes the pinch technique and its evolution from simple one-loop beginnings to a systematic method at all orders of perturbation theory and then to fully gauge-invariant Schwinger–Dyson equations, leading to its many applications. This 2011 title has been reissued as an Open Access publication on Cambridge Core.
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.
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