ENGLISH

The Pinch Technique and its Applications to Non-Abelian Gauge Theories (Cambridge Monographs on Particle Physics, Nuclear Physics and Cosmology)

Book information

Publisher
Cambridge University Press
Year
2011
ISBN
0521437520, 9780521437523
LCC
QC793.3.Q35 C675 2011
Google Books ID
oLyn-FaDZFkC
Open Library ID
OL24494645M
Language
english
Format
PDF
Filesize
2 MB (2254039 bytes)
Series
Cambridge monographs on particle physics, nuclear physics, and cosmology 31
Edition
1
Pages
306\306
Orientation
yes
Scanned
no
Time added
2011-08-31 04:54:40

Description

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.

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