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Lattice QCD study for the relation between confinement and chiral symmetry breaking

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Lattice QCD study for the relation between confinement and chiral symmetry breaking/ by Takahiro Doi.
Author:	Doi, Takahiro.
Published:	Singapore :Springer Singapore : : 2017.,
Description:	xii, 59 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Quantum chromodynamics - Research. -
Online resource:	http://dx.doi.org/10.1007/978-981-10-6596-5
ISBN:	9789811065965

Lattice QCD study for the relation between confinement and chiral symmetry breaking
Doi, Takahiro.

Lattice QCD study for the relation between confinement and chiral symmetry breaking[electronic resource] /by Takahiro Doi. - Singapore :Springer Singapore :2017. - xii, 59 p. :ill., digital ;24 cm. - Springer theses,2190-5053. - Springer theses..

Basics of QCD and Lattice QCD -- Relation Between Conﬁnement and Chiral Symmetry Breaking -- Generalization to Chiral Fermion on the Lattice -- Summary and Outlook.

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.

ISBN: 9789811065965

Standard No.: 10.1007/978-981-10-6596-5doiSubjects--Topical Terms:

1172456
Quantum chromodynamics
--Research.

LC Class. No.: QC793.3.Q35

Dewey Class. No.: 539.7548

Lattice QCD study for the relation between confinement and chiral symmetry breaking
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520 $a 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.
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