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

Yuya Tanizaki, Yoshimasa Hidaka, Tomoya Hayata

Research output: Contribution to journalConference articlepeer-review

1 Citation (Scopus)


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.

Original languageEnglish
JournalProceedings of Science
VolumePart F128557
Publication statusPublished - 2016
Externally publishedYes
Event34th Annual International Symposium on Lattice Field Theory, LATTICE 2016 - Southampton, United Kingdom
Duration: 2016 Jul 242016 Jul 30

ASJC Scopus subject areas

  • General


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