TY - JOUR
T1 - Numerical analysis of discretized N = (2,2) SYM on polyhedra
AU - Kamata, Syo
AU - Matsuura, So
AU - Misumi, Tatsuhiro
AU - Ohta, Kazutoshi
N1 - Publisher Copyright:
© Copyright owned by the author(s).
PY - 2016
Y1 - 2016
N2 - We perform a numerical simulation of the two-dimensional N = (2,2) supersymmetric Yang- Mills (SYM) theory on the discretized curved space. TheU(1)A anomaly of the continuum theory is maintained also in the discretized theory as an unbalance of the number of the fermions. In the process, we propose a new phase-quenched approximation, which we call the "anomaly-phasequenched (APQ) method", to make the partition function and observables well-defined by U(1)A phase cancellation. By adopting APQ method, we estimate the Ward-Takahashi identity for exact SUSY on lattice and clarify contribution of the pseudo zero-modes to the pfaffian phase.
AB - We perform a numerical simulation of the two-dimensional N = (2,2) supersymmetric Yang- Mills (SYM) theory on the discretized curved space. TheU(1)A anomaly of the continuum theory is maintained also in the discretized theory as an unbalance of the number of the fermions. In the process, we propose a new phase-quenched approximation, which we call the "anomaly-phasequenched (APQ) method", to make the partition function and observables well-defined by U(1)A phase cancellation. By adopting APQ method, we estimate the Ward-Takahashi identity for exact SUSY on lattice and clarify contribution of the pseudo zero-modes to the pfaffian phase.
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M3 - Conference article
AN - SCOPUS:85025825036
SN - 1824-8039
VL - Part F128557
JO - Proceedings of Science
JF - Proceedings of Science
T2 - 34th Annual International Symposium on Lattice Field Theory, LATTICE 2016
Y2 - 24 July 2016 through 30 July 2016
ER -