Analytical formulae linking quark confinement and chiral symmetry breaking

  • 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.

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Author:Takahiro M. DoiORCiD, Krzysztof RedlichORCiDGND, Chihiro SasakiORCiDGND, Hideo SuganumaORCiD
URN:urn:nbn:de:hebis:30:3-715816
DOI:https://doi.org/10.1051/epjconf/201612604016
ISSN:2100-014X
Parent Title (German):EPJ Web of Conferences
Publisher:EDP Sciences
Place of publication:Les Ulis
Document Type:Article
Language:English
Date of Publication (online):2016/11/04
Date of first Publication:2016/11/04
Publishing Institution:Universit├Ątsbibliothek Johann Christian Senckenberg
Contributing Corporation:International Conference on New Frontiers in Physics (4. : 2015 : Kolymbari)
Release Date:2023/02/03
Volume:126
Issue:04016
Page Number:7
HeBIS-PPN:50573818X
Institutes:Wissenschaftliche Zentren und koordinierte Programme / Frankfurt Institute for Advanced Studies (FIAS)
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik
Sammlungen:Universit├Ątspublikationen
Licence (German):License LogoCreative Commons - Namensnennung 4.0