Large-N spacetime reduction and the sign and silver-blaze problems of dense QCD

Details Large-N spacetime reduction and the sign and silver-blaze problems of dense QCD Large-N spacetime reduction and the sign and silver-blaze problems of dense QCD

2010-03-31

arxiv.org/abs/1004.0030v1

Physics

High Energy Physics

High Energy Physics - Lattice

43 pages, 17 figures

Scientific paper

We study the spacetime-reduced (Eguchi-Kawai) version of large-N QCD with nonzero chemical potential. We explore a method to suppress the sign fluctuations of the Dirac determinant in the hadronic phase; the method employs a re-summation of gauge configurations that are related to each other by center transformations. We numerically test this method in two dimensions, and find that it successfully solves the silver-blaze problem. We analyze the system further, and measure its free energy F, the average phase theta of its Dirac determinant, and its chiral condensate . We show that F and are independent of mu in the hadronic phase but that, as chiral perturbation theory predicts, the quenched chiral condensate drops from its mu=0 value when mu~(pion mass)/2. Finally, we find that the distribution of theta qualitatively agrees with further, more recent, predictions from chiral perturbation theory.

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