Dense quarks, and the fermion sign problem, in aSU(N)matrix model

2005/05/30 by Adrian Dumitru, Robert D. Pisarski, D. Zschiesche +1 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-ph

paper · pdf · doi:10.1103/physrevd.72.065008

published as Phys.Rev. D72 (2005) 065008 · 9 pages, 3 figures

arxiv created 2005/05/30 · openalex publication_date 2005/09/12 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Quark-mass dependence ofTcin QCD: Working up fromm=0or down fromm=∞?
• New approach to the complex-action problem and its application to a nonperturbative study of superstring theory
• Free energy of a static quark-antiquark pair and the renormalized Polyakov loop in three flavor QCD
• Potts flux tube model at nonzero chemical potential
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• Confinement versus Chiral Symmetry
• On the critical end point of QCD
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