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The Pinch Technique and Its Applications to Non-Abelian Gauge Theories (Book 31) by John M. Cornwall
£29.99
Available
Product Ref. (e.g. ISBN, SKU)
9781009402439
Published:
27 Jul 2023
Format:
Paperback
Number of pages:
306 pages
Dimensions:
244x169x16mm
Weight:
0.540kgs
Author:
Book 31 from the Cambridge monographs on particle physics, nuclear physics and cosmology series.
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.
About the Author: John M. Cornwall is Distinguished Professor of Physics Emeritus in the Department of Physics and Astronomy, University of California, Los Angeles. Inventor of the pinch technique, he has made many other contributions to the formalism and applications of quantum field theory, as well as to space plasma physics. He has contributed to the technical analysis of many public policy issues, ranging from ballistic missile defense to the human genome.
| Number of pages | 306 |
|---|
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