Sign problem in a Z3 -symmetric effective Polyakov-line model

Takehiro Hirakida, Junpei Sugano, Hiroaki Kouno, Junichi Takahashi, Masanobu Yahiro

Research output: Contribution to journalArticle

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Abstract

As an effective model corresponding to Z3-symmetric QCD (Z3-QCD), we construct a Z3-symmetric effective Polyakov-line model (Z3-EPLM) by using the logarithmic fermion effective action. Since Z3-QCD tends to QCD in the zero-temperature limit, Z3-EPLM also agrees with the ordinary effective Polyakov-line model (EPLM) there; note that (ordinary) EPLM does not possess Z3 symmetry. Our main purpose is to discuss a sign problem appearing in Z3-EPLM. The action of Z3-EPLM is real when not only the Polyakov line is real but also its Z3 images. This suggests that the sign problem becomes milder in Z3-EPLM than in EPLM. In order to confirm this suggestion, we do lattice simulations for both EPLM and Z3-EPLM by using the reweighting method with the phase quenched approximation. In the low-temperature region, the sign problem is milder in Z3-EPLM than in EPLM. We also propose a new reweighting method. This makes the sign problem very weak in Z3-EPLM.

Original languageEnglish
Article number074031
JournalPhysical Review D
Volume96
Issue number7
DOIs
Publication statusPublished - Oct 27 2017

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quantum chromodynamics
suggestion
fermions
symmetry
approximation
simulation
temperature

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

Cite this

Hirakida, T., Sugano, J., Kouno, H., Takahashi, J., & Yahiro, M. (2017). Sign problem in a Z3 -symmetric effective Polyakov-line model. Physical Review D, 96(7), [074031]. https://doi.org/10.1103/PhysRevD.96.074031

Sign problem in a Z3 -symmetric effective Polyakov-line model. / Hirakida, Takehiro; Sugano, Junpei; Kouno, Hiroaki; Takahashi, Junichi; Yahiro, Masanobu.

In: Physical Review D, Vol. 96, No. 7, 074031, 27.10.2017.

Research output: Contribution to journalArticle

Hirakida, T, Sugano, J, Kouno, H, Takahashi, J & Yahiro, M 2017, 'Sign problem in a Z3 -symmetric effective Polyakov-line model', Physical Review D, vol. 96, no. 7, 074031. https://doi.org/10.1103/PhysRevD.96.074031
Hirakida T, Sugano J, Kouno H, Takahashi J, Yahiro M. Sign problem in a Z3 -symmetric effective Polyakov-line model. Physical Review D. 2017 Oct 27;96(7). 074031. https://doi.org/10.1103/PhysRevD.96.074031
Hirakida, Takehiro ; Sugano, Junpei ; Kouno, Hiroaki ; Takahashi, Junichi ; Yahiro, Masanobu. / Sign problem in a Z3 -symmetric effective Polyakov-line model. In: Physical Review D. 2017 ; Vol. 96, No. 7.
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