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Title: | Unquenched complex Dirac spectra at nonzero chemical potential: Two-colour QCD lattice data versus matrix model |
Authors: | Akemann, G Bittner, E |
Keywords: | High energy physics - theory;High energy physics - lattice |
Issue Date: | 2006 |
Publisher: | The American Physical Society |
Citation: | Physics Review Letters 96: 222002, Jun 2006 |
Abstract: | 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. |
URI: | http://bura.brunel.ac.uk/handle/2438/446 |
DOI: | http://dx.doi.org/10.1103/PhysRevLett.96.222002 |
Appears in Collections: | Dept of Mathematics Research Papers Mathematical Sciences |
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Unquenched complex.pdf | 213.21 kB | Adobe PDF | View/Open |
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