Sign problem and the chiral spiral on the finite density lattice

Ryutaro Fukuda, Kenji Fukushima, Tomoya Hayata, Yoshimasa Hidaka

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number014508
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume89
Issue number1
DOIs
Publication statusPublished - 2014 Jan 13
Externally publishedYes

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determinants
fermions
formulations
baryons
continuums
ground state

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

Cite this

Sign problem and the chiral spiral on the finite density lattice. / Fukuda, Ryutaro; Fukushima, Kenji; Hayata, Tomoya; Hidaka, Yoshimasa.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 89, No. 1, 014508, 13.01.2014.

Research output: Contribution to journalArticle

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