Random Matrices and the Convergence of Partition Function Zeros in Finite Density QCD

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dc.creatorHalasz, M. A.
dc.creatorOsborn, J. C.
dc.creatorStephanov, M. A.
dc.creatorVerbaarschot, J. J. M.
dc.date1999-08-17
dc.date1999-08-18
dc.date.accessioned2026-07-07T11:34:55Z
dc.date.available2026-07-07T11:34:55Z
dc.descriptionWe apply the Glasgow method for lattice QCD at finite chemical potential to a schematic random matrix model (RMM). In this method the zeros of the partition function are obtained by averaging the coefficients of its expansion in powers of the chemical potential. In this paper we investigate the phase structure by means of Glasgow averaging and demonstrate that the method converges to the correct analytically known result. We conclude that the statistics needed for complete convergence grows exponentially with the size of the system, in our case, the dimension of the Dirac matrix. The use of an unquenched ensemble at $μ=0$ does not give an improvement over a quenched ensemble. We elucidate the phenomenon of a faster convergence of certain zeros of the partition function. The imprecision affecting the coefficients of the polynomial in the chemical potential can be interpeted as the appearance of a spurious phase. This phase dominates in the regions where the exact partition function is exponentially small, introducing additional phase boundaries, and hiding part of the true ones. The zeros along the surviving parts of the true boundaries remain unaffected.
dc.description17 pages, 14 figures, typos corrected
dc.identifierhttps://arxiv.org/abs/hep-lat/9908018
dc.identifierhttp://arxiv.org/abs/hep-lat/9908018
dc.identifierPhys.Rev.D61:076005,2000
dc.identifierdoi:10.1103/PhysRevD.61.076005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/198424
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Phenomenology
dc.titleRandom Matrices and the Convergence of Partition Function Zeros in Finite Density QCD
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