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Confinement, Topology, and Other Non-Perturbative Aspects of QCD

Confinement, Topology, and Other Non-Perturbative Aspects of QCD
Author: Jeff Paul Greensite
Publisher: Springer Science & Business Media
Total Pages: 327
Release: 2012-12-06
Genre: Science
ISBN: 9401005028

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The problem of quark confinement is one of the classic unsolved problems of particle physics and is fundamental to our understanding of the physics of the strong interaction and the behaviour of non-Abelian gauge theories in general. The confinement problem is also are area in which concepts from topology and techniques of computational physics both find important applications. This volume contains a snapshot of current research in this field as of January 2002. Particular emphasis is placed on the role of topological field configurations such as centre vortices and monopoles in proposed confinement mechanisms. Other topics covered include colour superconductivity, instantons and chiral symmetry breaking, matrix models and the construction of chiral gauge theories. Readership: Research scientists and graduate students of high energy physics and nuclear physics.


Confinement, Duality, and Nonperturbative Aspects of QCD

Confinement, Duality, and Nonperturbative Aspects of QCD
Author: Pierre van Baal
Publisher: Springer Science & Business Media
Total Pages: 556
Release: 2005-12-11
Genre: Science
ISBN: 030647056X

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Proceedings of a NATO ASI and Isaac Newton Institute Workshop held in Cambridge, UK, June 23-July 4, 1997


Modern Approaches to Non-Perturbative QCD and Other Confining Gauge Theories

Modern Approaches to Non-Perturbative QCD and Other Confining Gauge Theories
Author: Dmitry Antonov
Publisher: Mdpi AG
Total Pages: 298
Release: 2022-03-18
Genre: Science
ISBN: 9783036533292

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This book contains seven reviews and four research articles on the various modern approaches to the problem of quark confinement in quantum chromodynamics (QCD). These approaches include microscopic models of the Yang-Mills vacuum, which are based on the condensation of magnetic monopoles and center vortices, as well as the models of the confining quark-antiquark string. Possible applications of these models to the analysis of the novel superinsulating state, which emerges in such condensed-matter systems as Josephson junction arrays, are further discussed in one of the reviews. Two reviews from this collection discuss the approaches towards the analytic construction of effective confining theories, at the classical level and within the center-vortex model of the Yang-Mills vacuum. Other aspects of non-perturbative physics addressed by this collection include a possible connection between the localization of low-lying Dirac eigenmodes with the deconfinement and the chiral QCD phase transitions, as well as the role of topology in baryon-rich matter. Last but not least, a novel model of dark matter, based on ultralight axion particles, whose masses are arising due to distinct SU(2) Yang-Mills scales and the Planck mass, is suggested and developed in one of the contributed articles.


Nonperturbative Topological Phenomena in QCD and Related Theories

Nonperturbative Topological Phenomena in QCD and Related Theories
Author: Edward Shuryak
Publisher: Springer Nature
Total Pages: 529
Release: 2021-03-25
Genre: Science
ISBN: 3030629902

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This book introduces a variety of aspects in nonperturbative Quantum Chromodynamics (QCD), focusing on the topological objects present in gauge theories. These objects, like magnetic monopoles, instantons, instanto-dysons, sphalerons, QCD flux tubes, etc, are first introduced individually and, later, treated collectively. As ensembles, they produce various phenomena that can be modeled numerically in lattice gauge theories and such collective effects, produced on the lattice, are extensively discussed in some chapters. In turn, the notion of duality, which is crucial in modern field/string theories, is elucidated by taking into consideration the electric-magnetic duality, the Poisson duality, and the AdS/CFT duality. This monograph is based on various lectures given by Edward Shuryak at Stony Brook during the last three decades and it is meant for advanced graduate students and young researchers in theoretical and mathematical physics who are willing to consolidate their knowledge in the topological phenomena encountered in fundamental QCD research.


Lattice QCD Study for the Relation Between Confinement and Chiral Symmetry Breaking

Lattice QCD Study for the Relation Between Confinement and Chiral Symmetry Breaking
Author: Takahiro Doi
Publisher: Springer
Total Pages: 69
Release: 2017-10-10
Genre: Science
ISBN: 9811065969

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This thesis focuses on an unresolved problem in particle and nuclear physics: the relation between two important non-perturbative phenomena in quantum chromodynamics (QCD) – quark confinement and chiral symmetry breaking. The author develops a new analysis method in the lattice QCD, and derives a number of analytical formulae to express the order parameters for quark confinement, such as the Polyakov loop, its fluctuations, and the Wilson loop in terms of the Dirac eigenmodes closely related to chiral symmetry breaking. Based on the analytical formulae, the author analytically as well as numerically shows that at finite temperatures there is no direct one-to-one correspondence between them. The thesis describes this extraordinary achievement using the first-principle analysis, and proposes a possible new phase in which quarks are confined and chiral symmetry is restored.


Quark Confinement And The Hadron Spectrum V, Proceedings Of The 5th International Conference

Quark Confinement And The Hadron Spectrum V, Proceedings Of The 5th International Conference
Author: Nora Serafina Brambilla
Publisher: World Scientific
Total Pages: 551
Release: 2003-08-27
Genre: Science
ISBN: 9814485810

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This book provides an update on our understanding of strong interaction, with theoretical and experimental highlights included. It is divided into five sections. The first section is devoted to the investigations into and the latest results on the mechanism of quark confinement. The second and third sections focus respectively on light and heavy quarks (effective field theories, Schwinger-Dyson approach and lattice QCD results). The fourth section deals with the deconfinement mechanism and quark-gluon plasma formation signals. The last section presents highlights of experiments, new physics beyond QCD, and nonperturbative approaches in other theories (strings and SUSY) that may be useful in QCD.


An Introduction to the Confinement Problem

An Introduction to the Confinement Problem
Author: Jeff Greensite
Publisher: Springer
Total Pages: 215
Release: 2011-01-21
Genre: Science
ISBN: 3642143822

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This book addresses the confinement problem, which quite generally deals with the behavior of non-abelian gauge theories, and the force which is mediated by gauge fields, at large distances. The word “confinement” in the context of hadronic physics originally referred to the fact that quarks and gluons appear to be trapped inside mesons and baryons, from which they cannot escape. There are other, and possibly deeper meanings that can be attached to the term, and these will be explored in this book. Although the confinement problem is far from solved, much is now known about the general features of the confining force, and there are a number of very well motivated theories of confinement which are under active investigation. This volume gives a both pedagogical and concise introduction and overview of the main ideas in this field, their attractive features, and, as appropriate, their shortcomings.


Quark Confinement and the Hadron Spectrum V

Quark Confinement and the Hadron Spectrum V
Author: N. Brambilla
Publisher: World Scientific
Total Pages: 551
Release: 2003
Genre: Technology & Engineering
ISBN: 981238393X

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This book provides an update on our understanding of strong interaction, with theoretical and experimental highlights included. It is divided into five sections. The first section is devoted to the investigations into and the latest results on the mechanism of quark confinement. The second and third sections focus respectively on light and heavy quarks (effective field theories, Schwinger-Dyson approach and lattice QCD results). The fourth section deals with the deconfinement mechanism and quark-gluon plasma formation signals. The last section presents highlights of experiments, new physics beyond QCD, and nonperturbative approaches in other theories (strings and SUSY) that may be useful in QCD.