The pinch technique and its applications to non-Abelian gauge theories /

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Bibliographic Details
Author / Creator:	Cornwall, John M.
Imprint:	Cambridge ; New York : Cambridge University Press, 2011.
Description:	1 online resource (286 pages)
Language:	English
Series:	Cambridge monographs on particle physics, nuclear physics, and cosmology ; 31 Cambridge monographs on particle physics, nuclear physics, and cosmology.
Subject:	Quantum chromodynamics -- Mathematics. Gauge fields (Physics) -- Mathematics. Green's functions. Gauge invariance. Gauge fields (Physics) -- Mathematics. Gauge invariance. Green's functions. Electronic book.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11826955

Hidden Bibliographic Details
Other authors / contributors:	Papavassiliou, Joannis. Binosi, Daniele.
ISBN:	9780511933158 0511933150 9780511763038 0511763034 9780521437523 0521437520
Notes:	Includes bibliographical references and index. Print version record.
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 Pinch Technique Schwinger-Dyson equations are derived, and used to show how a dynamical gluon mass arises in QCD. Applications are given to the center vortex picture of confinement, the gauge-invariant treatment of resonant amplitudes, the definition of non-Abelian effective charges, high-temperature effects, and even supersymmetry. This book is ideal for elementary particle theorists and graduate students"--
Other form:	Print version: Cornwall, John M. Pinch technique and its applications to non-Abelian gauge theories. Cambridge ; New York : Cambridge University Press, 2011 9780521437523

Table of 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.

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