### 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 language | English |
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Article number | 014508 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 89 |

Issue number | 1 |

DOIs | |

Publication status | Published - 2014 Jan 13 |

Externally published | Yes |

### ASJC Scopus subject areas

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

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## Cite this

Fukuda, R., Fukushima, K., Hayata, T., & Hidaka, Y. (2014). Sign problem and the chiral spiral on the finite density lattice.

*Physical Review D - Particles, Fields, Gravitation and Cosmology*,*89*(1), [014508]. https://doi.org/10.1103/PhysRevD.89.014508