Volume 256 - 34th annual International Symposium on Lattice Field Theory (LATTICE2016) - Physics Beyond the Standard Model
Numerical Analysis of Discretized ${\mathcal N}=(2,2)$ SYM on Polyhedra
S. Kamata,* S. Matsuura, T. Misumi, K. Ohta
*corresponding author
Full text: pdf
Pre-published on: 2016 December 27
Published on: 2017 March 24
Abstract
We perform a numerical simulation of the two-dimensional N = (2,2)
supersymmetric YangMills (SYM) theory on the discretized curved space. The U(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.
DOI: https://doi.org/10.22323/1.256.0210
Open Access