Overlap Dirac Operator at Nonzero Chemical Potential and Random Matrix Theory

Journal Article · Fri Jul 07 00:00:00 EDT 2006 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.97.012003· OSTI ID:20777373

Bloch, Jacques; Wettig, Tilo ^[1]

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1. Institute for Theoretical Physics, University of Regensburg, 93040 Regensburg (Germany)

We show how to introduce a quark chemical potential in the overlap Dirac operator. The resulting operator satisfies a Ginsparg-Wilson relation and has exact zero modes. It is no longer {gamma}{sub 5} Hermitian, but its nonreal eigenvalues still occur in pairs. We compute the spectral density of the operator on the lattice and show that, for small eigenvalues, the data agree with analytical predictions of non-Hermitian chiral random matrix theory for both trivial and nontrivial topology. We also explain an observed change in the number of zero modes as a function of chemical potential.

• OSTI ID: 20777373
• Journal Information: Physical Review Letters, Vol. 97, Issue 1; Other Information: DOI: 10.1103/PhysRevLett.97.012003; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CHIRALITY
DIRAC OPERATORS
EIGENVALUES
POTENTIALS
QUARKS
RANDOMNESS
SPECTRAL DENSITY
TOPOLOGY