Abstract
We investigate Monte Carlo updating algorithms for simulating SU(N ) YangMills fields on a single-site lattice, such as for the Twisted Eguchi-Kawai model (TEK). We show that performing only over-relaxation (OR) updates of the gauge links is a valid simulation algorithm for the Fabricius and Haan formulation of this model, and that this decorrelates observables faster than using heat-bath updates. We consider two different methods of implementing the OR update: either updating the whole SU(N ) matrix at once, or iterating through SU(2) subgroups of the SU(N ) matrix, we find the same critical exponent in both cases, and only a slight difference between the two.
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Pérez, M.G., González-Arroyo, A., Keegan, L. et al. A comparison of updating algorithms for large N reduced models. J. High Energ. Phys. 2015, 193 (2015). https://doi.org/10.1007/JHEP06(2015)193
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DOI: https://doi.org/10.1007/JHEP06(2015)193