https://doi.org/10.1051/epjconf/201817511003
Lattice simulation with the Majorana positivity
1
Department of Physics, The University of Tokyo, Tokyo 113-0033, Japan
2
Department of Physics, Chuo University, Tokyo, 112-8551, Japan
* Speaker, e-mail: arayamamoto@nt.phys.s.u-tokyo.ac.jp
Published online: 26 March 2018
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.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).
