### Abstract

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.

Original language | English |
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Journal | Proceedings of Science |

Volume | Part F128557 |

Publication status | Published - 2016 |

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### ASJC Scopus subject areas

- General

### Cite this

*Proceedings of Science*,

*Part F128557*.