Unquenched complex Dirac spectra at nonzero chemical potential: two-colour QCD lattice data versus matrix model

Akemann G, Bittner E (2006)
Phys.Rev.Lett. 96(22): 222002.

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Zeitschriftenaufsatz | Veröffentlicht | Englisch
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Abstract / Bemerkung
We compare analytic predictions of non-Hermitian chiral random matrix theorywith the complex Dirac operator eigenvalue spectrum of two-colour lattice gaugetheory with dynamical fermions at nonzero chemical potential. The Diraceigenvalues come in complex conjugate pairs, making the action of this theoryreal, and positive for our choice of two staggered flavours. This enables us touse standard Monte-Carlo in testing the influence of chemical potential andquark mass on complex eigenvalues close to the origin. We find an excellentagreement between the analytic predictions and our data for two differentvolumes over a range of chemical potentials below the chiral phase transition.In particular we detect the effect of unquenching when going to very smallquark masses.
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Phys.Rev.Lett.
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96
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22
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222002
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Akemann G, Bittner E. Unquenched complex Dirac spectra at nonzero chemical potential: two-colour QCD lattice data versus matrix model. Phys.Rev.Lett. 2006;96(22):222002.
Akemann, G., & Bittner, E. (2006). Unquenched complex Dirac spectra at nonzero chemical potential: two-colour QCD lattice data versus matrix model. Phys.Rev.Lett., 96(22), 222002. doi:10.1103/PhysRevLett.96.222002
Akemann, G., and Bittner, E. (2006). Unquenched complex Dirac spectra at nonzero chemical potential: two-colour QCD lattice data versus matrix model. Phys.Rev.Lett. 96, 222002.
Akemann, G., & Bittner, E., 2006. Unquenched complex Dirac spectra at nonzero chemical potential: two-colour QCD lattice data versus matrix model. Phys.Rev.Lett., 96(22), p 222002.
G. Akemann and E. Bittner, “Unquenched complex Dirac spectra at nonzero chemical potential: two-colour QCD lattice data versus matrix model”, Phys.Rev.Lett., vol. 96, 2006, pp. 222002.
Akemann, G., Bittner, E.: Unquenched complex Dirac spectra at nonzero chemical potential: two-colour QCD lattice data versus matrix model. Phys.Rev.Lett. 96, 222002 (2006).
Akemann, Gernot, and Bittner, E. “Unquenched complex Dirac spectra at nonzero chemical potential: two-colour QCD lattice data versus matrix model”. Phys.Rev.Lett. 96.22 (2006): 222002.

2 Zitationen in Europe PMC

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Phase of the fermion determinant at nonzero chemical potential.
Splittorff K, Verbaarschot JJ., Phys Rev Lett 98(3), 2007
PMID: 17358675

27 References

Daten bereitgestellt von Europe PubMed Central.

New method of determining Fπ on the lattice
Damgaard, Physical Review D 72(9), 2005
Erratum: QCD Dirac Operator at Nonzero Chemical Potential: Lattice Data and Matrix Model [Phys. Rev. Lett. 92, 102002 (2004)]
Akemann, Physical Review Letters 96(2), 2006

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PMID: 16803303
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arXiv: hep-lat/0603004

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