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

Nonfiction, Science & Nature, Science, Physics, Nuclear Physics, Quantum Theory
Cover of the book Lattice QCD Study for the Relation Between Confinement and Chiral Symmetry Breaking by Takahiro Doi, Springer Singapore
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Author: Takahiro Doi ISBN: 9789811065965
Publisher: Springer Singapore Publication: October 10, 2017
Imprint: Springer Language: English
Author: Takahiro Doi
ISBN: 9789811065965
Publisher: Springer Singapore
Publication: October 10, 2017
Imprint: Springer
Language: English

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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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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