LEADER 03436nam 22006255 450 001 9910254587203321 005 20200630043642.0 010 $a981-10-6596-9 024 7 $a10.1007/978-981-10-6596-5 035 $a(CKB)4100000000882512 035 $a(DE-He213)978-981-10-6596-5 035 $a(MiAaPQ)EBC5100589 035 $a(PPN)220126240 035 $a(EXLCZ)994100000000882512 100 $a20171010d2017 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aLattice QCD Study for the Relation Between Confinement and Chiral Symmetry Breaking /$fby Takahiro Doi 205 $a1st ed. 2017. 210 1$aSingapore :$cSpringer Singapore :$cImprint: Springer,$d2017. 215 $a1 online resource (XII, 59 p. 18 illus. in color.) 225 1 $aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5053 311 $a981-10-6595-0 320 $aIncludes bibliographical references at the end of each chapters. 327 $aBasics of QCD and Lattice QCD -- Relation Between Con?nement and Chiral Symmetry Breaking -- Generalization to Chiral Fermion on the Lattice -- Summary and Outlook. 330 $aThis thesis focuses on an unresolved problem in particle and nuclear physics: the relation between two important non-perturbative phenomena in quantum chromodynamics (QCD) ? quark confinement and chiral symmetry breaking. The author develops a new analysis method in the lattice QCD, and derives a number of analytical formulae to express the order parameters for quark confinement, such as the Polyakov loop, its fluctuations, and the Wilson loop in terms of the Dirac eigenmodes closely related to chiral symmetry breaking. Based on the analytical formulae, the author analytically as well as numerically shows that at finite temperatures there is no direct one-to-one correspondence between them. The thesis describes this extraordinary achievement using the first-principle analysis, and proposes a possible new phase in which quarks are confined and chiral symmetry is restored. 410 0$aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5053 606 $aNuclear physics 606 $aHeavy ions 606 $aQuantum field theory 606 $aString theory 606 $aPhysics 606 $aNuclear Physics, Heavy Ions, Hadrons$3https://scigraph.springernature.com/ontologies/product-market-codes/P23010 606 $aQuantum Field Theories, String Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P19048 606 $aNumerical and Computational Physics, Simulation$3https://scigraph.springernature.com/ontologies/product-market-codes/P19021 615 0$aNuclear physics. 615 0$aHeavy ions. 615 0$aQuantum field theory. 615 0$aString theory. 615 0$aPhysics. 615 14$aNuclear Physics, Heavy Ions, Hadrons. 615 24$aQuantum Field Theories, String Theory. 615 24$aNumerical and Computational Physics, Simulation. 676 $a511.33 700 $aDoi$b Takahiro$4aut$4http://id.loc.gov/vocabulary/relators/aut$0825126 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254587203321 996 $aLattice QCD Study for the Relation Between Confinement and Chiral Symmetry Breaking$91835324 997 $aUNINA