Dense Quarks, and the Fermion Sign Problem, in a SU(N) Matrix Model

Details Dense Quarks, and the Fermion Sign Problem, in a SU(N) Matrix Model Dense Quarks, and the Fermion Sign Problem, in a SU(N) Matrix Model

2005-05-30

arxiv.org/abs/hep-ph/0505256v1

Phys.Rev. D72 (2005) 065008

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages, 3 figures

Scientific paper

10.1103/PhysRevD.72.065008

We study the effect of dense quarks in a SU(N) matrix model of deconfinement. For three or more colors, the quark contribution to the loop potential is complex. After adding the charge conjugate loop, the measure of the matrix integral is real, but not positive definite. In a matrix model, quarks act like a background Z(N) field; at nonzero density, the background field also has an imaginary part, proportional to the imaginary part of the loop. Consequently, while the expectation values of the loop and its complex conjugate are both real, they are not equal. These results suggest a possible approach to the fermion sign problem in lattice QCD.

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