Sign problem and the chiral spiral on the finite density lattice

Ryutaro Fukuda, Kenji Fukushima, Tomoya Hayata, Yoshimasa Hidaka

研究成果: Article査読

4 被引用数 (Scopus)

抄録

We investigate the sign problem of the fermion determinant at finite baryon density in (1+1) dimensions, in which the ground state in the chiral limit should be free from the sign problem by forming a chiral spiral. To confirm it, we evaluate the fermion determinant in the continuum theory at the one-loop level and find that the determinant becomes real as expected. The conventional lattice formulation to implement a chemical potential is, however, not compatible with the spiral transformation. We discuss an alternative of the finite-density formulation and numerically verify the chiral spiral on the finite density lattice.

本文言語English
論文番号014508
ジャーナルPhysical Review D - Particles, Fields, Gravitation and Cosmology
89
1
DOI
出版ステータスPublished - 2014 1月 13
外部発表はい

ASJC Scopus subject areas

  • 核物理学および高エネルギー物理学
  • 物理学および天文学(その他)

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