TY - BOOK AU - Doi,Takahiro ED - SpringerLink (Online service) TI - Lattice QCD Study for the Relation Between Confinement and Chiral Symmetry Breaking T2 - Springer Theses, Recognizing Outstanding Ph.D. Research, SN - 9789811065965 AV - QC770-798 U1 - 539.7092 23 PY - 2017/// CY - Singapore PB - Springer Singapore, Imprint: Springer KW - Nuclear physics KW - Heavy ions KW - Quantum field theory KW - String theory KW - Physics KW - Nuclear Physics, Heavy Ions, Hadrons KW - Quantum Field Theories, String Theory KW - Numerical and Computational Physics, Simulation N1 - Basics of QCD and Lattice QCD -- Relation Between Confinement and Chiral Symmetry Breaking -- Generalization to Chiral Fermion on the Lattice -- Summary and Outlook; Available to subscribing member institutions only. Доступно лише організаціям членам підписки N2 - 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 UR - https://doi.org/10.1007/978-981-10-6596-5 ER -