Large-Nc equivalence and the sign problem at finite baryon density

Details Large-Nc equivalence and the sign problem at finite baryon density Large-Nc equivalence and the sign problem at finite baryon density

2011-09-29

arxiv.org/abs/1109.6372v1

Physics

High Energy Physics

High Energy Physics - Lattice

Slightly modified version of the article submitted to Seitaro Nakamura competition. 23 pages, 9 figures

Scientific paper

QCD with a finite baryon chemical potential, despite its importance, is not well understood because the standard lattice QCD simulation is not applicable due to the sign problem. Although QCD-like theories which do not suffer from the sign problem have been studied intensively, relation to QCD with a finite baryon chemical potential was not clear. This paper introduces large-Nc equivalences between QCD and various QCD-like theories. These equivalences lead us to a unified viewpoint for QCD with baryon and isospin chemical potentials, SO(2Nc) and Sp(2Nc) gauge theories, QCD with adjoint matters and two-color QCD. In particular QCD with the baryon chemical potential is equivalent to its phase quenched version in a certain parameter region, which is relevant for heavy ion collision experiments. This result is useful especially for finding or excluding a possible QCD critical point, through the phase quenched simulation of the SU(3) QCD.

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