### Abstract

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.

Original language | English |
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Article number | 012008 |

Journal | Journal of Physics: Conference Series |

Volume | 432 |

Issue number | 1 |

DOIs | |

Publication status | Published - 2013 |

Event | 10th Extreme QCD 2012, xQCD 2012 - Washington, DC, United States Duration: 2012 Aug 21 → 2012 Aug 23 |

### ASJC Scopus subject areas

- Physics and Astronomy(all)

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## Cite this

*Journal of Physics: Conference Series*,

*432*(1), [012008]. https://doi.org/10.1088/1742-6596/432/1/012008