TY - JOUR
T1 - Lattice simulation with the Majorana positivity
AU - Yamamoto, Arata
AU - Hayata, Tomoya
N1 - Funding Information:
A. Y. was supported by JSPS KAKENHI (Grant No. JP15K17624). Grant-in-Aid for Scientific Research (Grant No. JP16J02240).
Publisher Copyright:
© The Authors, published by EDP Sciences, 2018.
PY - 2018/3/26
Y1 - 2018/3/26
N2 - 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.
AB - 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.
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U2 - 10.1051/epjconf/201817511003
DO - 10.1051/epjconf/201817511003
M3 - Conference article
AN - SCOPUS:85045153880
SN - 2101-6275
VL - 175
JO - EPJ Web of Conferences
JF - EPJ Web of Conferences
M1 - 11003
T2 - 35th International Symposium on Lattice Field Theory, Lattice 2017
Y2 - 18 June 2017 through 24 June 2017
ER -