TY - JOUR A1 - Doi, Takahiro M. A1 - Redlich, Krzysztof A1 - Sasaki, Chihiro A1 - Suganuma, Hideo T1 - Analytical formulae linking quark confinement and chiral symmetry breaking T2 - EPJ Web of Conferences N2 - Dirac spectrum representations of the Polyakov loop fluctuations are derived on the temporally odd-number lattice, where the temporal length is odd with the periodic boundary condition. We investigate the Polyakov loop fluctuations based on these analytical relations. It is semi-analytically and numerically found that the low-lying Dirac eigenmodes have little contribution to the Polyakov loop fluctuations, which are sensitive probe for the quark deconfinement. Our results suggest no direct one-to-one corresponding between quark confinement and chiral symmetry breaking in QCD. Y1 - 2016 UR - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/71581 UR - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-715816 SN - 2100-014X VL - 126 IS - 04016 PB - EDP Sciences CY - Les Ulis ER -