Unquenched complex Dirac spectra at nonzero chemical potential: two-color QCD lattice data versus matrix model
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 t...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
9 June 2006
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| In: |
Physical review letters
Year: 2006, Volume: 96, Issue: 22, Pages: 1-4 |
| ISSN: | 1079-7114 |
| DOI: | 10.1103/PhysRevLett.96.222002 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevLett.96.222002 Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/PhysRevLett.96.222002 
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| Author Notes: | Gernot Akemann and Elmar Bittner |
| Summary: | 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. |
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| Item Description: | Gesehen am 11.10.2022 |
| Physical Description: | Online Resource |
| ISSN: | 1079-7114 |
| DOI: | 10.1103/PhysRevLett.96.222002 |