Topology and chiral random matrix theory at nonzero imaginary chemical potential

Journal Article · Wed Apr 01 04:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.79.074016· OSTI ID:21308170

Lehner, C; Wettig, T ^[1]; Ohtani, M ^[2]; Verbaarschot, J J. M. ^[1]

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1. Institute for Theoretical Physics, University of Regensburg, 93040 Regensburg (Germany)
2. Kyorin University, School of Medicine, Mitaka, Tokyo 181-8611 (Japan)

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.

• OSTI ID: 21308170
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 7 Vol. 79; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRALITY
EIGENVALUES
FLUCTUATIONS
PARTITION FUNCTIONS
POTENTIALS
QUANTUM CHROMODYNAMICS
RANDOMNESS
SPECTRA