Lattice QCD study for the relation between confinement and chiral symmetry breaking. (2017)

• Record Type: Book
• Further Information: Note: Takahiro Doi.
• Authors: Doi, Takahiro
• Contents: ""Supervisorâ#x80;#x99;s Foreword""; ""Parts of this thesis have been published in the following journal articles:""; ""Acknowledgements""; ""Contents""; ""1 Basics of QCD and Lattice QCD""; ""1.1 QCD""; ""1.2 Confinement""; ""1.3 Chiral Symmetry Breaking""; ""1.3.1 Banks -- Casher Relation""; ""1.4 Lattice QCD ""; ""1.5 Motivation and Outline of this Thesis""; ""References""; ""2 Relation Between Confinement and Chiral Symmetry Breaking""; ""2.1 Polyakov Loop""; ""2.1.1 Operator Formalism and Dirac Modes on Lattice"" ""2.1.2 The Relation Between Polyakov Loop and Dirac Modes on the Temporally Odd-Number Lattice""""2.1.3 The Relation Between Polyakov Loop and Dirac Modes on the Even Lattice""; ""2.1.4 Modified Kogut -- Susskind Formalism for Temporally Odd-Number Lattice""; ""2.1.5 The Relation Between the Dirac Matrix Element and the KS Dirac Matrix Element""; ""2.1.6 Numerical Analysis""; ""2.1.7 New ``positive/negative Symmetry'' on Dirac Matrix Element in Confinement Phase""; ""2.2 Polyakov Loop Fluctuations""; ""2.2.1 Properties of Polyakov Loop Fluctuations"" ""2.2.2 The Polyakov Loop Fluctuations and Dirac Modes""""2.2.3 Numerical Results""; ""2.3 Wilson Loop""; ""References""; ""3 Generalization to Chiral Fermion on the Lattice""; ""3.1 Lattice Fermion and Fermionic Doubler Modes""; ""3.2 The Relation Between Polyakov Loop and Low-Lying Modes of Overlap-Dirac Operator""; ""3.2.1 Wilson -- Dirac Operator""; ""3.2.2 Overlap-Dirac Operator""; ""References""; ""4 Summary and Outlook""
• Publisher Details: Singapore : Springer
• Publication Date: 2017
• Extent: 1 online resource
• Subjects: 539.7/548; Quantum chromodynamics -- Research; Lattice theory; Nuclear physics; SCIENCE -- Physics -- Quantum Theory; Lattice theory; Nuclear physics; Physics; Nuclear Physics, Heavy Ions, Hadrons; Quantum Field Theories, String Theory; Numerical and Computational Physics, Simulation; Electronic books
• Languages: English
• ISBNs: 9789811065965; 9811065969; 9811065950; 9789811065958
• Related ISBNs: 9789811065958
• Notes: Note: Includes bibliographical references.; Note: Vendor-supplied metadata.
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