Abstract
We show that \( \mathcal{N} = \left( {2,2} \right) \) 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.
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ArXiv ePrint: 1010.2948v3
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Hanada, M., Kanamori, I. Absence of sign problem in two-dimensional \( \mathcal{N} = \left( {2,2} \right) \) super Yang-Mills on lattice. J. High Energ. Phys. 2011, 58 (2011). https://doi.org/10.1007/JHEP01(2011)058
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DOI: https://doi.org/10.1007/JHEP01(2011)058