Lattice simulation with the Majorana positivity

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

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

References in corpus (2)

• Classification of sign-problem-free relativistic fermions on the basis of the Majorana positivity
• Quantum Monte Carlo simulation of a two-dimensional Majorana lattice model