Lattice simulation with the Majorana positivity

Arata Yamamoto, Tomoya Hayata

Research output: Contribution to journalConference article

Abstract

While the sign problem of the Dirac fermion is conditioned by the semipositivity of a determinant, that of the Majorana fermion is conditioned by the semipositivity 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.

Original languageEnglish
Article number11003
JournalEPJ Web of Conferences
Volume175
DOIs
Publication statusPublished - 2018 Mar 26
Externally publishedYes
Event35th International Symposium on Lattice Field Theory, Lattice 2017 - Granada, Spain
Duration: 2017 Jun 182017 Jun 24

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fermions
simulation
determinants

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Lattice simulation with the Majorana positivity. / Yamamoto, Arata; Hayata, Tomoya.

In: EPJ Web of Conferences, Vol. 175, 11003, 26.03.2018.

Research output: Contribution to journalConference article

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