Unquenched Complex Dirac Spectra at Nonzero Chemical Potential: Two-Color QCD Lattice Data versus Matrix Model

Journal Article · Fri Jun 09 04:00:00 EDT 2006 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.96.222002· OSTI ID:20775266

Akemann, Gernot ^[1]; Bittner, Elmar ^[2]

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1. Department of Mathematical Sciences, Brunel University West London, Uxbridge UB8 3PH (United Kingdom)
2. Institut fuer Theoretische Physik, Universitaet Leipzig, Augustusplatz 10/11 D-04109 Leipzig (Germany)

We compare analytic predictions of non-Hermitian chiral random matrix theory with the complex Dirac operator eigenvalue spectrum of two-color lattice gauge theory with dynamical fermions at nonzero chemical potential. The Dirac eigenvalues come in complex conjugate pairs, making the action of this theory real and positive for our choice of two staggered flavors. This enables us to use standard Monte Carlo simulations in testing the influence of the chemical potential and quark mass on complex eigenvalues close to the origin. We find excellent agreement between the analytic predictions and our data for two different volumes over a range of chemical potentials below the chiral phase transition. In particular, we detect the effect of unquenching when going to very small quark masses.

• OSTI ID: 20775266
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 22 Vol. 96; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CHIRALITY
COLOR MODEL
COMPUTERIZED SIMULATION
DIRAC OPERATORS
EIGENVALUES
FLAVOR MODEL
FORECASTING
GAUGE INVARIANCE
MASS
MONTE CARLO METHOD
PHASE TRANSFORMATIONS
POTENTIALS
QUANTUM CHROMODYNAMICS
QUARKS
RANDOMNESS
SPECTRA