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

Takahiro Doi (Autor)

Buch | Softcover

59 Seiten

2018 | Softcover reprint of the original 1st ed. 2017
Springer Verlag, Singapore
978-981-13-4911-9 (ISBN)

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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.

Dr. Takahiro Doi is a special postdoctral researcher (SPDR) at RIKEN. His work is concerned with the theory of particle and nuclear physics. He received his Bachelor, Master and Ph.D. from the Department of Physics, Kyoto University in 2012, 2014 and 2017, respectively. He was awarded a research fellowship for young scientists for 2015 to 2017 by the Japan Society for Promotion of Science (JSPS), and his research was supported by the JSPS.

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

Erscheinungsdatum	04.03.2022
Reihe/Serie	Springer Theses
Zusatzinfo	18 Illustrations, color; XII, 59 p. 18 illus. in color.
Verlagsort	Singapore
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Atom- / Kern- / Molekularphysik
	Naturwissenschaften ► Physik / Astronomie ► Hochenergiephysik / Teilchenphysik
	Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
	Naturwissenschaften ► Physik / Astronomie ► Thermodynamik
Schlagworte	Banks-Casher Relation • Chiral Symmetery Breaking • Dirac Eigenmode • Elitzur's Theorem • Kogut-Susskind Formalism • lattice QCD • Overlap-fermion • Polyakov Loop • quark confinement • Wilson Loop
ISBN-10	981-13-4911-8 / 9811349118
ISBN-13	978-981-13-4911-9 / 9789811349119
Zustand	Neuware