The pinch technique and its applications to non-Abelian gauge theories / John M. Cornwall, Joannis Papavassiliou, Daniele Binosi.

Format:

Book

Author/Creator:

Cornwall, John M., author.

Papavassiliou, Joannis, author.

Binosi, Daniele, author.

Series:

Cambridge monographs on particle physics, nuclear physics, and cosmology ; 31.

Cambridge monographs on particle physics, nuclear physics, and cosmology ; 31

Language:

English

Subjects (All):

Quantum chromodynamics--Mathematics.

Quantum chromodynamics.

Gauge fields (Physics)--Mathematics.

Gauge fields (Physics).

Green's functions.

Gauge invariance.

Physical Description:

1 online resource (xvii, 286 pages) : digital, PDF file(s).

Edition:

1st ed.

Other Title:

The Pinch Technique & its Applications to Non-Abelian Gauge Theories

Place of Publication:

Cambridge : Cambridge University Press, 2011.

Language Note:

English

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.

Contents:

Introduction: why the pinch technique

The Pinch Technique at one loop

Advanced pinch technique: still one loop

Pinch technique to all orders

The pinch technique in the Batalin-Vilkovisky framework

The gauge technique

Schwinger-Dyson equations in the pinch technique framework

Nonperturbative gluon mass and quantum solitons

Nexuses, sphalerons, and fractional topological charge

A brief summary of d=3 NAGTs

The pinch technique for electroweak theory

Other applications of the pinch technique.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references and index.

ISBN:

1-107-21547-1

1-282-93175-X

9786612931758

0-511-93180-8

0-511-93046-1

0-511-93315-0

0-511-92795-9

0-511-76303-4

0-511-92541-7

OCLC:

693761190