Classification of sign-problem-free relativistic fermions on the basis of the Majorana positivity

Tomoya Hayata, Arata Yamamoto

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We classify the sign-problem-free relativistic fermion actions on the basis of the Majorana representation. In the Majorana representation, the sign-problem-free condition is given by the semi-positivity of a Pfaffian. We show that the known sign-problem-free actions of the Dirac fermions, which are usually understood from the semi-positivity of a determinant, e.g., the action of quantum chromodynamics with nonzero chiral chemical potential or nonzero isospin chemical potential, can also be understood from the semi-positivity of a Pfaffian.We also derive new classes of the sign-problem-free relativistic fermion actions with Majorana-type source terms.

Original languageEnglish
Article number043B08
JournalProgress of Theoretical and Experimental Physics
Volume2017
Issue number4
DOIs
Publication statusPublished - 2017 Apr 1
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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