Absence of sign problem in two-dimensional N = (2,2) super Yang-Mills on lattice

Hanada, Masanori and Kanamori, Issaku (2011) Absence of sign problem in two-dimensional N = (2,2) super Yang-Mills on lattice. JOURNAL OF HIGH ENERGY PHYSICS (1): 058. ISSN 1029-8479,

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Abstract

We show that N = (2, 2) SU(N) super Yang-Mills theory on lattice does not have sign problem in the continuum limit, that is, under the phase-quenched simulation phase of the determinant localizes to 1 and hence the phase-quench approximation becomes exact. Among several formulations, we study models by Cohen-Kaplan-Katz-Unsal (CKKU) and by Sugino. We confirm that the sign problem is absent in both models and that they converge to the identical continuum limit without fine tuning. We provide a simple explanation why previous works by other authors, which claim an existence of the sign problem, do not capture the continuum physics.

Item Type: Article
Uncontrolled Keywords: MONTE-CARLO; SUPERSYMMETRY; MODEL; Supersymmetric gauge theory; Lattice Gauge Field Theories; Extended Supersymmetry
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 01 Jul 2020 05:45
Last Modified: 01 Jul 2020 05:45
URI: https://pred.uni-regensburg.de/id/eprint/21614

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