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Comparing matrix models and QCD lattice data with chemical potential

โœ Scribed by Gernot Akemann; Tile Wettig


Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
292 KB
Volume
129-130
Category
Article
ISSN
0920-5632

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โœฆ Synopsis


We present a quantitative analysis of the microscopic Dirac spectrum which is complex in the presence of a nonvanishing quark chemical potential.

Data from quenched SU(3) lattice simulations for different volumes V and small values of the chemical potential p are compared to analytical predictions from matrix models. We confirm the existence of two distinct limits for weakly and strongly nonhermitian Dirac operators. Good agreement is found in both limits, confirming the different scaling of chemical potential and eigenvalues with the volume.


๐Ÿ“œ SIMILAR VOLUMES


Density profiles of small Dirac operator
โœ Gernot Akemann; Elmar Bittner; Maria-Paola Lombardo; Harald Markum; Rainer Pulli ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 154 KB

We investigate the eigenvalue spectrum of the staggered Dirac matrix in two color QCD at nite chemical potential. The pro les of complex eigenvalues close to the origin are compared to a complex generalization of the chiral Gaussian Symplectic Ensemble, con rming its predictions for weak and strong