• Open Access

Application of the path optimization method to the sign problem in an effective model of QCD with a repulsive vector-type interaction

Kouji Kashiwa, Yuto Mori, and Akira Ohnishi
Phys. Rev. D 99, 114005 – Published 6 June 2019

Abstract

The path optimization method is applied to a QCD effective model with a Polyakov loop and a repulsive vector-type interaction at finite temperature and density to circumvent the model sign problem. We show how the path optimization method can increase the average phase factor and control the model sign problem. This is the first study which correctly treats the repulsive vector-type interaction in the QCD effective model with a Polyakov loop via the Markov-chain Monte Carlo approach. It is shown that we can evade the model sign problem within the standard path-integral formulation by complexifying the temporal component of the gluon field and the vector-type auxiliary field.

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  • Received 18 March 2019

DOI:https://doi.org/10.1103/PhysRevD.99.114005

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

Authors & Affiliations

Kouji Kashiwa1,*, Yuto Mori2,†, and Akira Ohnishi3,‡

  • 1Fukuoka Institute of Technology, Wajiro, Fukuoka 811-0295, Japan
  • 2Department of Physics, Faculty of Science, Kyoto University, Kyoto 606-8502, Japan
  • 3Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan

  • *kashiwa@fit.ac.jp
  • mori@ruby.scphys.kyoto-u.ac.jp
  • ohnishi@yukawa.kyoto-u.ac.jp

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Issue

Vol. 99, Iss. 11 — 1 June 2019

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