English

Lattice simulation with the Majorana positivity

High Energy Physics - Lattice 2018-03-29 v1

Abstract

While the sign problem of the Dirac fermion is conditioned by the semi-positivity of a determinant, that of the Majorana fermion is conditioned by the semi-positivity of a Pfaffian. We introduce one sufficient condition for the semi-positivity of a Pfaffian. Based on the semi-positivity condition, we study an effective model of the Majorana fermion. We also present the application to the Dirac fermion

Cite

@article{arxiv.1707.05450,
  title  = {Lattice simulation with the Majorana positivity},
  author = {Arata Yamamoto and Tomoya Hayata},
  journal= {arXiv preprint arXiv:1707.05450},
  year   = {2018}
}

Comments

Talk given at 35th annual International Symposium on Lattice Field Theory (Lattice2017)

R2 v1 2026-06-22T20:49:49.482Z