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.
Zeitschriftenaufsatz
| Veröffentlicht | Englisch
Download
Es wurden keine Dateien hochgeladen. Nur Publikationsnachweis!
Autor*in
Akemann, GernotUniBi;
Bittner, E.
Einrichtung
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.
Erscheinungsjahr
2006
Zeitschriftentitel
Phys.Rev.Lett.
Band
96
Ausgabe
22
Art.-Nr.
222002
ISSN
0031-9007
eISSN
1079-7114
Page URI
https://pub.uni-bielefeld.de/record/1978361
Zitieren
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. https://doi.org/10.1103/PhysRevLett.96.222002
Akemann, Gernot, and 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.
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): 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, : 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.
Daten bereitgestellt von European Bioinformatics Institute (EBI)
2 Zitationen in Europe PMC
Daten bereitgestellt von Europe PubMed Central.
Phase of the fermion determinant at nonzero chemical potential.
Splittorff K, Verbaarschot JJ., Phys Rev Lett 98(3), 2007
PMID: 17358675
Splittorff K, Verbaarschot JJ., Phys Rev Lett 98(3), 2007
PMID: 17358675
Overlap Dirac operator at nonzero chemical potential and random matrix theory.
Bloch J, Wettig T., Phys Rev Lett 97(1), 2006
PMID: 16907367
Bloch J, Wettig T., Phys Rev Lett 97(1), 2006
PMID: 16907367
27 References
Daten bereitgestellt von Europe PubMed Central.
AUTHOR UNKNOWN, 0
AUTHOR UNKNOWN, 2005
QCD-like theories at finite baryon density
Kogut, Nuclear Physics B 582(1-3), 2000
Kogut, Nuclear Physics B 582(1-3), 2000
Symmetries and spectrum of SU(2) lattice gauge theory at finite chemical potential
HANDS, Nuclear Physics B 558(1-2), 1999
HANDS, Nuclear Physics B 558(1-2), 1999
Lowest eigenvalues of the Dirac operator for two color QCD at nonzero chemical potential
Bittner, Nuclear Physics B - Proceedings Supplements 106 107(), 2002
Bittner, Nuclear Physics B - Proceedings Supplements 106 107(), 2002
Random matrix triality at nonzero chemical potential
Halasz, Physical Review D 56(11), 1997
Halasz, Physical Review D 56(11), 1997
Quantum distinction of regular and chaotic dissipative motion.
Grobe R, Haake F, Sommers HJ., Phys. Rev. Lett. 61(17), 1988
PMID: 10038927
Grobe R, Haake F, Sommers HJ., Phys. Rev. Lett. 61(17), 1988
PMID: 10038927
Random matrix model of QCD at finite density and the nature of the quenched limit.
Stephanov MA., Phys. Rev. Lett. 76(24), 1996
PMID: 10061300
Stephanov MA., Phys. Rev. Lett. 76(24), 1996
PMID: 10061300
Microscopic universality with dynamical fermions
Berbenni-Bitsch, Physical Review D 58(7), 1998
Berbenni-Bitsch, Physical Review D 58(7), 1998
Directed Quantum Chaos
Efetov, Physical Review Letters 79(3), 1997
Efetov, Physical Review Letters 79(3), 1997
Thouless Energy and Correlations of QCD Dirac Eigenvalues
Osborn, Physical Review Letters 81(2), 1998
Osborn, Physical Review Letters 81(2), 1998
Quark Spectra, Topology, and Random Matrix Theory
Edwards, Physical Review Letters 82(21), 1999
Edwards, Physical Review Letters 82(21), 1999
Spectra of massive and massless QCD dirac operators: A novel link
Akemann G, Kanzieper E., Phys. Rev. Lett. 85(6), 2000
PMID: 10991505
Akemann G, Kanzieper E., Phys. Rev. Lett. 85(6), 2000
PMID: 10991505
Random matrices close to Hermitian or unitary: overview of methods and results
Fyodorov, Journal of Physics A Mathematical and General 36(12), 2003
Fyodorov, Journal of Physics A Mathematical and General 36(12), 2003
Factorization of correlation functions and the replica limit of the Toda lattice equation
Splittorff, Nuclear Physics B 683(3), 2004
Splittorff, Nuclear Physics B 683(3), 2004
QCD dirac operator at nonzero chemical potential: lattice data and matrix model.
Akemann G, Wettig T., Phys. Rev. Lett. 92(10), 2004
PMID: 15089199
Akemann G, Wettig T., Phys. Rev. Lett. 92(10), 2004
PMID: 15089199
On matrix model partition functions for QCD with chemical potential
AKEMANN, Nuclear Physics B 694(1-2), 2004
AKEMANN, Nuclear Physics B 694(1-2), 2004
Universal results from an alternate random-matrix model for QCD with a baryon chemical potential.
Osborn JC., Phys. Rev. Lett. 93(22), 2004
PMID: 15601083
Osborn JC., Phys. Rev. Lett. 93(22), 2004
PMID: 15601083
Index Theorem and Random Matrix Theory for Improved Staggered Quarks
FOLLANA, Nuclear Physics B - Proceedings Supplements 140(), 2005
FOLLANA, Nuclear Physics B - Proceedings Supplements 140(), 2005
Density profiles of small Dirac operator eigenvalues for two color QCD at nonzero chemical potential compared to matrix models
AKEMANN, Nuclear Physics B - Proceedings Supplements 140(), 2005
AKEMANN, Nuclear Physics B - Proceedings Supplements 140(), 2005
Unquenched QCD Dirac operator spectra at nonzero baryon chemical potential
AKEMANN, Nuclear Physics B 712(1-2), 2005
AKEMANN, Nuclear Physics B 712(1-2), 2005
θ-Vacuum
Azcoiti, Progress of Theoretical Physics 109(5), 2003
Azcoiti, Progress of Theoretical Physics 109(5), 2003
Lattice QCD at Finite Density
Muroya, Progress of Theoretical Physics 110(4), 2003
Muroya, Progress of Theoretical Physics 110(4), 2003
Chiral symmetry breaking and the dirac spectrum at nonzero chemical potential.
Osborn JC, Splittorff K, Verbaarschot JJ., Phys. Rev. Lett. 94(20), 2005
PMID: 16090236
Osborn JC, Splittorff K, Verbaarschot JJ., Phys. Rev. Lett. 94(20), 2005
PMID: 16090236
The complex Laguerre symplectic ensemble of non-Hermitian matrices
AKEMANN, Nuclear Physics B 730(3), 2005
AKEMANN, Nuclear Physics B 730(3), 2005
New method of determining Fπ on the lattice
Damgaard, Physical Review D 72(9), 2005
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
Akemann, Physical Review Letters 96(2), 2006
Export
Markieren/ Markierung löschen
Markierte Publikationen
Web of Science
Dieser Datensatz im Web of Science®Quellen
PMID: 16803303
PubMed | Europe PMC
arXiv: hep-lat/0603004
Suchen in
Google Scholar