Topology and chiral random matrix theory at nonzero imaginary chemical potential

Lehner, C. and Ohtani, M. and Verbaarschot, J. J. M. and Wettig, T. (2009) Topology and chiral random matrix theory at nonzero imaginary chemical potential. PHYSICAL REVIEW D, 79 (7): 074016. ISSN 2470-0010, 2470-0029

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Abstract

We study the effect of topology for a random matrix model of QCD at nonzero imaginary chemical potential or nonzero temperature. Nonuniversal fluctuations of Dirac eigenvalues lead to normalization factors that contribute to the theta dependence of the partition function. These normalization factors have to be canceled in order to reproduce the theta dependence of the QCD partition function. The reason for this behavior is that the topological domain of the Dirac spectrum (the region of the Dirac spectrum that is sensitive to the topological charge) extends beyond the microscopic domain at nonzero imaginary chemical potential or temperature. Such behavior could persist in certain lattice formulations of QCD.

Item Type: Article
Uncontrolled Keywords: QCD DIRAC OPERATOR; U(1) PROBLEM; FINITE-TEMPERATURE; ISOSPIN DENSITY; ZERO VIRTUALITY; SYMMETRY; SPECTRUM; MODEL; UNIVERSALITY; INSTANTONS;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Chair Professor Braun > Group Tilo Wettig
Depositing User: Dr. Gernot Deinzer
Date Deposited: 21 Sep 2020 05:14
Last Modified: 21 Sep 2020 05:14
URI: https://pred.uni-regensburg.de/id/eprint/29232

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