Perturbative Aspects of the Deconfinement Transition : Beyond the Faddeev-Popov Paradigm / by Urko Reinosa.

Format:

Book

Author/Creator:

Reinosa, Urko, author.

Series:

Lecture Notes in Physics, 1616-6361 ; 1006

Language:

English

Subjects (All):

Particles (Nuclear physics).

Quantum field theory.

Condensed matter.

Particle Physics.

Elementary Particles, Quantum Field Theory.

Phase Transitions and Multiphase Systems.

Local Subjects:

Particle Physics.

Elementary Particles, Quantum Field Theory.

Phase Transitions and Multiphase Systems.

Physical Description:

1 online resource (280 pages)

Edition:

1st ed. 2022.

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2022.

Summary:

This book offers an original view of the color confinement/deconfinement transition that occurs in non-abelian gauge theories at high temperature and/or densities. It is grounded on the fact that the standard Faddeev-Popov gauge-fixing procedure in the Landau gauge is incomplete. The proper analysis of the low energy properties of non-abelian theories in this gauge requires, therefore, the extension of the gauge-fixing procedure, beyond the Faddeev-Popov recipe. The author reviews various applications of one such extension, based on the Curci-Ferrari model, with a special focus on the confinement/deconfinement transition, first in the case of pure Yang-Mills theory, and then, in a formal regime of Quantum Chromodynamics where all quarks are considered heavy. He shows that most qualitative aspects and also many quantitative features of the deconfinement transition can be accounted for within the model, with only one additional parameter. Moreover, these features emerge in a systematicand controlled perturbative expansion, as opposed to what would happen in a perturbative expansion within the Faddeev-Popov model. The book is also intended as a thorough and pedagogical introduction to background field gauge techniques at finite temperature and/or density. In particular, it offers a new and promising view on the way these techniques might be applied at finite temperature. The material aims at graduate students or researchers who wish to deepen their understanding of the confinement/deconfinement transition from an analytical perspective. Basic knowledge of gauge theories at finite temperature is required, although the text is designed in a self-contained manner, with most concepts and tools introduced when needed. At the end of each chapter, a series of exercises is proposed to master the subject.

Contents:

General introduction

Faddeev-Popov gauge fixing and the Curci-Ferrari model

Deconfinement transition and center symmetry

Background Field Gauges: States and Symmetries

Background Field Gauges: Weyl chambers

Yang-Mills deconfinement transition from the Curci-Ferrari model at leading order

Yang-Mills deconfinement transition from the Curci-Ferrari model at next-to-leading order

More on the relation between the center symmetry group and the deconfinement transition

Background field gauges: adding quarks and density

QCD decofinement transition in the heavy quark regime

A novel look at background field methods at finite temperature

Conclusions and outlook

Appendix.

Other Format:

Print version: Reinosa, Urko Perturbative Aspects of the Deconfinement Transition

ISBN:

9783031113758

OCLC:

1355233212