### Abstract

The effect of the complex phase of the fermion determinant is a key question related to the sign problem in finite-density QCD. Recently it has been shown that ignoring the complex phase-the phase quenching-does not change the expectation values of a class of observables in a certain region of the phase diagram when a number of colors N _{c} is large. In this paper, we study the effect of the phase quenching within the frameworks of effective models and holographic models. We show, in a unified manner, that the phase quenching gives exact results for a class of fermionic observables (e.g., chiral condensate) in the mean-field approximation and for gauge-invariant gluonic observables (e.g., Polyakov loop) to one-meson-loop corrections beyond mean field. We also discuss implications for the lattice simulations and confirm good quantitative agreement between our prediction and existing lattice QCD results. Therefore the phase quenching provides a rather accurate answer already at N _{c}=3 with small 1/N _{c} corrections which can be taken into account by the phase reweighting.

Original language | English |
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Article number | 074510 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 86 |

Issue number | 7 |

DOIs | |

Publication status | Published - 2012 Oct 17 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

**Sign problem and phase quenching in finite-density QCD : Models, holography, and lattice.** / Hanada, Masanori; Matsuo, Yoshinori; Yamamoto, Naoki.

Research output: Contribution to journal › Article

*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 86, no. 7, 074510. https://doi.org/10.1103/PhysRevD.86.074510

}

TY - JOUR

T1 - Sign problem and phase quenching in finite-density QCD

T2 - Models, holography, and lattice

AU - Hanada, Masanori

AU - Matsuo, Yoshinori

AU - Yamamoto, Naoki

PY - 2012/10/17

Y1 - 2012/10/17

N2 - The effect of the complex phase of the fermion determinant is a key question related to the sign problem in finite-density QCD. Recently it has been shown that ignoring the complex phase-the phase quenching-does not change the expectation values of a class of observables in a certain region of the phase diagram when a number of colors N c is large. In this paper, we study the effect of the phase quenching within the frameworks of effective models and holographic models. We show, in a unified manner, that the phase quenching gives exact results for a class of fermionic observables (e.g., chiral condensate) in the mean-field approximation and for gauge-invariant gluonic observables (e.g., Polyakov loop) to one-meson-loop corrections beyond mean field. We also discuss implications for the lattice simulations and confirm good quantitative agreement between our prediction and existing lattice QCD results. Therefore the phase quenching provides a rather accurate answer already at N c=3 with small 1/N c corrections which can be taken into account by the phase reweighting.

AB - The effect of the complex phase of the fermion determinant is a key question related to the sign problem in finite-density QCD. Recently it has been shown that ignoring the complex phase-the phase quenching-does not change the expectation values of a class of observables in a certain region of the phase diagram when a number of colors N c is large. In this paper, we study the effect of the phase quenching within the frameworks of effective models and holographic models. We show, in a unified manner, that the phase quenching gives exact results for a class of fermionic observables (e.g., chiral condensate) in the mean-field approximation and for gauge-invariant gluonic observables (e.g., Polyakov loop) to one-meson-loop corrections beyond mean field. We also discuss implications for the lattice simulations and confirm good quantitative agreement between our prediction and existing lattice QCD results. Therefore the phase quenching provides a rather accurate answer already at N c=3 with small 1/N c corrections which can be taken into account by the phase reweighting.

UR - http://www.scopus.com/inward/record.url?scp=84867804064&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84867804064&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.86.074510

DO - 10.1103/PhysRevD.86.074510

M3 - Article

VL - 86

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 7

M1 - 074510

ER -