Lattice simulation with the Majorana positivity

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

〈個人研究〉SSH校における社会科の役割 : 「科学的リテラシー」の再考をふまえて

SSH校における様々な実践を相互に結びつける資質・能力として，本稿は科学的リテラシーに注目する。科学的リテラシーは，①科学諸分野の知識・概念理解，②科学的な思考力・探究プロセスの習得，③科学を技術・社会と関連付ける文脈的理解，④参加とコミュニケーションの実践，の４つの層で捉えることが適切である。後二者は現代科学の特性から強く要請されるが，理数系教科に偏った取り組みでは育成が難しい。社会科教育は，科学的リテラシーを重層的に捉える理解を促進するとともに，複数の教科・領域が関わる総合的なカリキュラム開発・単元開発のための視点を提示し，サイエンス・コミュニケーションのプラットフォームを準備できる

Dynamical chirality production in one dimension

We discuss the quantum computation of dynamical chirality production in lattice gauge theory. Although the chirality of a lattice fermion is complicated in general dimension, it can be simply formulated on a one-dimensional lattice. The chiral fermion formalism enables us to extract the physical part of the chirality production that would be interpreted as the chiral anomaly in the continuous theory. We demonstrate the computation of the $Z_2$ lattice gauge theory on a classical emulator

Chiral fermion on quantum computers

Quantum computation often suffers from artificial symmetry breaking. We should strive to suppress the artifact both by theoretical and technological improvements. The theoretical formalism of the lattice fermion with exact chiral symmetry is called the chiral fermion. In this presentation, we show how the chiral fermion describes chiral physics in quantum computing. We also show that, although a drawback of the chiral fermion is large computational cost, there is a loophole in one dimension.Comment: Talk given at the 40th International Symposium on Lattice Field Theory (LATTICE2023