String inspired solution to the sign problem and overlapping problem

Masanori Hanada, Yoshinori Mastuo, Naoki Yamamoto

Research output: Contribution to journalArticle

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 languageEnglish
Article number012008
JournalJournal of Physics: Conference Series
Volume432
Issue number1
DOIs
Publication statusPublished - 2013
Externally publishedYes

Fingerprint

strings
quantum chromodynamics
approximation
quenching
equivalence
phase diagrams

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

String inspired solution to the sign problem and overlapping problem. / Hanada, Masanori; Mastuo, Yoshinori; Yamamoto, Naoki.

In: Journal of Physics: Conference Series, Vol. 432, No. 1, 012008, 2013.

Research output: Contribution to journalArticle

@article{650452e8a58047b48697562ba8d3ade0,
title = "String inspired solution to the sign problem and overlapping problem",
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.",
author = "Masanori Hanada and Yoshinori Mastuo and Naoki Yamamoto",
year = "2013",
doi = "10.1088/1742-6596/432/1/012008",
language = "English",
volume = "432",
journal = "Journal of Physics: Conference Series",
issn = "1742-6588",
publisher = "IOP Publishing Ltd.",
number = "1",

}

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 - 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

ER -