3D N = 1 SYM Chern-Simons theory on the Lattice

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dc.creatorElliott, Joshua W.
dc.creatorMoore, Guy D.
dc.date2007-08-23
dc.date2007-11-27
dc.date.accessioned2026-07-07T11:18:51Z
dc.date.available2026-07-07T11:18:51Z
dc.descriptionWe present a method to implement 3-dimensional N = 1 SUSY Yang-Mills theory (a theory with two real supercharges containing gauge fields and an adjoint Majorana fermion) on the lattice, including a way to implement the Chern-Simons term present in this theory. At nonzero Chern-Simons number our implementation suffers from a sign problem which will make the numerical effort grow exponentially with volume. We also show that the theory with vanishing Chern-Simons number is anomalous; its partition function identically vanishes.
dc.descriptionv2, minor changes: expanded discussion in section III c, typos corrected, 17 pages, 9 figures
dc.identifierhttps://arxiv.org/abs/0708.3214
dc.identifierhttp://arxiv.org/abs/0708.3214
dc.identifierJHEP0711:067,2007
dc.identifierdoi:10.1088/1126-6708/2007/11/067
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193484
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Theory
dc.title3D N = 1 SYM Chern-Simons theory on the Lattice
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