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

John M. Cornwall; Joannis Papavassiliou; Daniele Binosi

doi:10.1017/9781009402415

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Alexandre, Jean Mavromatos, Nick E. Mitsou, Vasiliki A. and Musumeci, Emanuela 2025. Impact of resummation on the production and experimental bounds of scalar high-electric-charge objects. Physical Review D, Vol. 111, Issue. 7,

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John M. Cornwall, University of California, Los Angeles, Joannis Papavassiliou, Universitat de València, Spain, Daniele Binosi, European Centre for Theoretical Studies in Nuclear Physics and Related Areas (ECT)

Publisher:: Cambridge University Press
Online publication date:: July 2023
Print publication year:: 2023
Online ISBN:: 9781009402415
DOI:: https://doi.org/10.1017/9781009402415
Creative Commons:: This content is Open Access and distributed under the terms of the Creative Commons Attribution licence CC-BY-NC-ND 4.0 https://creativecommons.org/creativelicenses

Subjects:: Particle Physics and Nuclear Physics, Physics and Astronomy, Theoretical Physics and Mathematical Physics
Series:: Cambridge Monographs on Particle Physics, Nuclear Physics and Cosmology

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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.

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

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Contents

Frontmatter
pp i-iv

Dedication
pp v-vi

Contents
pp vii-x

Introduction: Why the pinch technique?
pp xi-xviii

1 - The pinch technique at one loop
pp 1-44

2 - Advanced pinch technique: Still one loop
pp 45-74

3 - Pinch technique to all orders
pp 75-85

4 - The pinch technique in the Batalin–Vilkovisky framework
pp 86-103

5 - The gauge technique
pp 104-113

6 - Schwinger–Dyson equations in the pinch technique framework
pp 114-143

7 - Nonperturbative gluon mass and quantum solitons
pp 144-166

8 - Nexuses, sphalerons, and fractional topological charge
pp 167-189

9 - A brief summary of d = 3 NAGTs
pp 190-225

10 - The pinch technique for electroweak theory
pp 226-249

11 - Other applications of the pinch technique
pp 250-280

Appendix: Feynman rules
pp 281-284

Index
pp 285-288

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

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