TY - JOUR

T1 - String inspired solution to the sign problem and overlapping problem

AU - Hanada, Masanori

AU - Mastuo, Yoshinori

AU - Yamamoto, Naoki

PY - 2013

Y1 - 2013

N2 - Because of the sign problem, it is difficult to study finite-density QCD. In order to circumvent the sign problem, we prove that the phase-quenched approximation is exact to O(Nf/Nc) for any physical observables in a certain region of the phase diagram. We also find a quantitative evidence for the validity of the phase quenching from existing lattice QCD results at Nc 3. Our results show that the phase-quenched approximation is good already at Nc 3, and the 1/Nc correction can be incorporated by the phase reweighting method without suffering from a severe overlap problem. The same equivalence holds in effective models and holographic models. It gives us a theoretical understanding of the empirical facts (exactness of the phase quenching in the mean-field approximation) found in model calculations.

AB - Because of the sign problem, it is difficult to study finite-density QCD. In order to circumvent the sign problem, we prove that the phase-quenched approximation is exact to O(Nf/Nc) for any physical observables in a certain region of the phase diagram. We also find a quantitative evidence for the validity of the phase quenching from existing lattice QCD results at Nc 3. Our results show that the phase-quenched approximation is good already at Nc 3, and the 1/Nc correction can be incorporated by the phase reweighting method without suffering from a severe overlap problem. The same equivalence holds in effective models and holographic models. It gives us a theoretical understanding of the empirical facts (exactness of the phase quenching in the mean-field approximation) found in model calculations.

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U2 - 10.1088/1742-6596/432/1/012008

DO - 10.1088/1742-6596/432/1/012008

M3 - Conference article

AN - SCOPUS:84880011428

VL - 432

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

M1 - 012008

T2 - 10th Extreme QCD 2012, xQCD 2012

Y2 - 21 August 2012 through 23 August 2012

ER -