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Author Cornwall, John M., author.

Title The pinch technique and its applications to non-Abelian gauge theories / John M. Cornwall, Joannis Papavassiliou, Daniele Binosi
Published Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2023


Description 1 online resource
Series Cambridge monographs on particle physics, nuclear physics and cosmology ; 31
Cambridge monographs on particle physics, nuclear physics, and cosmology ; 31.
Contents Introduction; 1. The pinch technique at one loop; 2. Advanced pinch technique -- still one loop; 3. Pinch technique to all orders; 4. The pinch technique in the Batalin-Vilkovisky framework; 5. The gauge technique; 6. Schwinger-Dyson equations in the pinch technique framework; 7. Non-perturbative gluon mass and quantum solitons; 8. Nexuses, sphalerons, and fractional topological charge; 9. A brief summary of d=3 NAGTs; 10. The pinch technique for electroweak theory; 11. Other applications of the pinch technique; Appendix; Index
Summary 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
Notes "First published 2011, reissued as OA 2023."
Online resource; title from digital title page (viewed on August 02, 2023)
Subject Quantum chromodynamics -- Mathematics
Gauge fields (Physics) -- Mathematics
Green's functions.
Gauge invariance.
Non-Abelian groups.
Gauge fields (Physics) -- Mathematics
Gauge invariance
Green's functions
Non-Abelian groups
Form Electronic book
Author Papavassiliou, Joannis, author.
Binosi, Daniele, author.
ISBN 9781009402415