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

Tomoya Hayata, Arata Yamamoto

研究成果: Article査読

3 被引用数 (Scopus)

抄録

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.

本文言語English
論文番号043B08
ジャーナルProgress of Theoretical and Experimental Physics
2017
4
DOI
出版ステータスPublished - 2017 4 1
外部発表はい

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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