From Quarks To Pions: Chiral Symmetry And Confinement

From Quarks To Pions: Chiral Symmetry And Confinement
Author: Michael Creutz
Publisher: World Scientific
Total Pages: 216
Release: 2018-06-27
Genre: Science
ISBN: 981322925X

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At a fundamental level, the interaction of quarks with gluon fields lies at the heart of our understanding of the strong nuclear force. Experimentally, however, we only observe physical hadrons such as protons and pions. This book explores the fascinating physics involved in the path between these contrasting pictures of the world. Along the way, the book discusses symmetries, which play a crucial role in understanding the parameters of the theory, and details of the spectrum of physical particles.This would be the first book to elaborate on the detailed connections between confinement and chiral symmetry, with an emphasis on a unified treatment of the non-perturbative nature of these phenomena. As such, it should be a valuable title on any particle theorist's bookshelf, containing extensive pedagogical material for scientists at the graduate level and above.

Quarks, Baryons and Chiral Symmetry

Quarks, Baryons and Chiral Symmetry
Author: Atsushi Hosaka
Publisher: World Scientific
Total Pages: 389
Release: 2001
Genre: Science
ISBN: 9810246293

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This book describes baryon models constructed from quarks, mesons and chiral symmetry. The role of chiral symmetry and of quark model structure with SU(6) spin-flavor symmetry are discussed in detail, starting from a pedagogic introduction. Emphasis is placed on symmetry aspects of the theories. As an application, the chiral bag model is studied for nucleon structure, where important methods of theoretical physics, mostly related to the semiclassical approach for a system of strong interactions, are demonstrated. The text is more practical than formal; tools and ideas are explained in detail while solving actual problems. By checking each step of the computations, readers can learn not only the calculational techniques but also the essential ideas behind them.

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: 59
Release: 2018-12-11
Genre: Science
ISBN: 9789811349119

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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 - Proceedings Of The International Conference

Quark Confinement And The Hadron Spectrum - Proceedings Of The International Conference
Author: Nora Serafina Brambilla
Publisher: World Scientific
Total Pages: 398
Release: 1995-03-29
Genre:
ISBN: 9814549924

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The 20-year-old problem of the confinement and the resulting spectrum of the bound states is central to quantum chromodynamics (QCD). Many approaches have been tried starting from different points of view: the potential theory, the Bethe-Salpeter equation, string and flux tube models, bag models, vacuum structure, current algebra, lattice theory, and numerical simulations. Phenomenological assumptions and first-principle theoretical results or indications have been combined. Many partial successes have been attained, but a unified and comprehensive treatment is still lacking.In recent years, new attention has been given to the problem, both in terms of theoretical developments and for the purpose of evaluating the spectrum and other properties of the particles. In particular, attention has been focussed on areas like numerical simulations, the derivation of the potential, the use of the Bethe-Salpeter equation, the connection between the potential and the chiral symmetry approach.This workshop was an opportunity for a synthesis and a comparison of the different points of view.

The Gribov Theory of Quark Confinement

The Gribov Theory of Quark Confinement
Author: Vladimir N. Gribov
Publisher: World Scientific
Total Pages: 306
Release: 2001
Genre: Science
ISBN: 9810247095

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V N Gribov, one of the founders of modern particle physics, shaped our understanding of QCD as the microscopic dynamics of hadrons. This volume collects his papers on quark confinement, showing the road he followed to arrive at the theory and formulating the theory itself. It begins with papers providing a beautiful physical explanation of asymptotic freedom based on the phenomenon of antiscreening and demonstrating the inconsistency of the standard perturbative treatment of the gluon fields (Gribov copies, Gribov horizon). It continues with papers presenting the Gribov theory according to which confinement of colour is determined by the existence of practically massless quarks. The last two papers conclude Gribov's twenty-year-long study of the problem; QCD is formulated as a quantum field theory containing both perturbative and nonperturbative phenomena, and the confinement is based on the supercritical binding of light quarks.

Quark Confinement and the Hadron Spectrum III

Quark Confinement and the Hadron Spectrum III
Author: Nathan Isgur
Publisher: World Scientific
Total Pages: 384
Release: 2000
Genre: Science
ISBN: 9789810242367

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The confinement mechanism of the quarks in QCD is one of the most challenging and open problems in physics. Confinement is a nonperturbative phenomenon, and a definite way to handle it has not yet been found in field theory. There are lattice calculations that can produce the low-lying states of the spectrum and ?measure? many important physical quantities, but nevertheless the development of analytical techniques is of extreme importance for understanding the physics involved in confinement. In this respect it is important to test the results obtained directly from the theory (Bethe-Salpeter kernel, effective Hamiltonians, quark potential, etc.) on the spectrum, form factors and decays of bound states of quarks and gluons, and to relate them to the results of lattice theory.In this book, the question of the confinement mechanism is addressed; explanations in terms of monopoles, instantons and dyons are reviewed and the connection with duality is discussed.

Quarks Bound by Chiral Fields

Quarks Bound by Chiral Fields
Author: Georges Ripka
Publisher: Oxford University Press
Total Pages: 226
Release: 1997
Genre: Science
ISBN: 9780198517849

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The structure of light hadrons is dominated by the spontaneously broken chiral symmetry of the strongly interacting (QCD) vacuum. Low energy properties of light hadrons can be described in terms of quarks interacting with chiral fields. This book gives a comprehensive account of a large class of models which describe the restoration of chiral symmetry at high temperature and density, the effective interactions between quarks, mesons as solutions of the Beth-Salpeter equation, and baryons in terms of solitions which rotate in flavor space. An in-depth analysis of regularization is given, including regularization by delocalized fields. Symmetry conserving approximations are formulated using both path integral and Feynmann graph methods. The book's style is pedagogical and well-suited to graduate and Ph.D. students who want to learn the techniques used in present day research. It can also serve as a reference for research and lecture courses.

Quark Confinement And The Hadron Spectrum Iv

Quark Confinement And The Hadron Spectrum Iv
Author: Wolfgang Lucha
Publisher: World Scientific
Total Pages: 388
Release: 2002-02-27
Genre:
ISBN: 9814491454

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Quantum chromodynamics is generally accepted to be the quantum field theory which describes the strong interactions in elementary particle physics. However, the question of the mechanism responsible for the “confinement” of the color degrees of freedom of quarks and gluons into hadrons still ranks as one of the most interesting open problems in physics.This proceedings volume summarizes the state of the art in this area of research. Mathematically inclined readers will find the articles based on monopoles, vortices, and topology most interesting. Meanwhile, lattice calculations can be performed for many important physical quantities. Their results can be used as guidelines for developing models of quark confinement. These models are indispensable for theoretical physicists performing calculations with the Bethe-Salpeter equation, Dyson-Schwinger equations, effective Hamiltonians, and potential models. The cross-fertilization of all these subfields of research becomes evident from the articles in this book. A few experimental papers are also included.