Random matrix analysis of the QCD sign problem

Details Random matrix analysis of the QCD sign problem Random matrix analysis of the QCD sign problem

2009-10-07

arxiv.org/abs/0910.1206v2

PoS LAT2009:186,2009

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, 3 figures, talk presented at Lattice 2009 (Beijing), corrected Ref. [9]

Scientific paper

The severity of the sign problem in lattice QCD at nonzero baryon density is measured by the average phase of the fermion determinant. Motivated by the equivalence of chiral random matrix theory and QCD to leading order in the epsilon regime, we compute the phase of the fermion determinant for general topology in random matrix theory as a function of the quark chemical potential and the quark mass. We find that the sign problem becomes milder with increasing topological charge. The analytic predictions are verified by detailed numerical random matrix simulations.

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