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.
UR - http://www.scopus.com/inward/record.url?scp=84880011428&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84880011428&partnerID=8YFLogxK
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 -