Lefschetz-thimble approach to the Silver Blaze problem of one-site fermion model

Yuya Tanizaki, Yoshimasa Hidaka, Tomoya Hayata

研究成果: Conference article

抄録

The sign problem of finite-density QCD at the zero temperature becomes very severe if the quark chemical potential exceeds half of the pion mass. In order to understand its property, we consider the sign problem of the one-site fermion model appearing in its path-integral expression by using the Lefschetz-thimble method. We show that the original integration cycle becomes decomposed into multiple Lefschetz thimbles at a certain value of the fermion chemical potential, which would correspond to half of the pion mass of finite-density QCD. This triggers a fictitious phase transition on each Lefschetz thimble, and the interference of complex phases among them plays an important role for the correct description of the system. We also show that the complex Langevin method does not work in this situation.

元の言語English
ジャーナルProceedings of Science
Part F128557
出版物ステータスPublished - 2016 1 1
外部発表Yes
イベント34th Annual International Symposium on Lattice Field Theory, LATTICE 2016 - Southampton, United Kingdom
継続期間: 2016 7 242016 7 30

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pions
quantum chromodynamics
fermions
silver
actuators
quarks
interference
cycles
temperature

ASJC Scopus subject areas

  • General

これを引用

Lefschetz-thimble approach to the Silver Blaze problem of one-site fermion model. / Tanizaki, Yuya; Hidaka, Yoshimasa; Hayata, Tomoya.

:: Proceedings of Science, 巻 Part F128557, 01.01.2016.

研究成果: Conference article

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