Dirac-mode analysis for quark number density and its application for deconfinement transition

The quark number density at finite imaginary chemical potential is investigated in the lattice QCD using the Dirac-mode expansion. We find the analytical formula of the quark number density in terms of the Polyakov loop in the large quark mass regime. On the other hand, in the small quark mass regio...

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Bibliographic Details
Published in:EPJ Web of conferences 2018-01, Vol.175, p.12003
Main Authors: Doi, Takahiro M., Kashiwa, Kouji
Format: Article
Language:English
Subjects:
Chemical potential
Density
Lattice vibration
Organic chemistry
Quantum chromodynamics
Quarks
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Summary:The quark number density at finite imaginary chemical potential is investigated in the lattice QCD using the Dirac-mode expansion. We find the analytical formula of the quark number density in terms of the Polyakov loop in the large quark mass regime. On the other hand, in the small quark mass region, the quark number density is investigated by using the quenched lattice QCD simulation. The quark number density is found to strongly depend on the low-lying Dirac modes while its sign does not change. This result leads to that the quark number holonomy is not sensitive to the low-lying Dirac modes. We discuss the confinement-deconfinement transition from the property of the quark number density and the quark number holonomy.
ISSN:2100-014X
2101-6275
2100-014X
DOI:10.1051/epjconf/201817512003