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Lattice QCD study for the relation b...

Doi, Takahiro.

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

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Lattice QCD study for the relation between confinement and chiral symmetry breakingby Takahiro Doi.
作者:	Doi, Takahiro.
出版者:	Singapore :Springer Singapore :2017.
面頁冊數:	xii, 59 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Quantum chromodynamicsResearch.
電子資源:	http://dx.doi.org/10.1007/978-981-10-6596-5
ISBN:	9789811065965$q(electronic bk.)

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$q(electronic bk.)

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

795085
Quantum chromodynamics
--Research.

LC Class. No.: QC793.3.Q35

Dewey Class. No.: 539.7548

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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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