Deconstruction, 2d lattice Yang-Mills, and the dynamical lattice spacing

dc.creatorGiedt, Joel
dc.date2003-12-12
dc.date2003-12-19
dc.date.accessioned2026-07-07T03:39:03Z
dc.date.available2026-07-07T03:39:03Z
dc.descriptionWe study expectation values related to the dynamical lattice spacing that occurs in the recent supersymmetric 2d lattice Yang-Mills constructions of Cohen et al. [hep-lat/0307012]. For the purposes of this preliminary analysis, we restrict our attention to the bosonic part of that theory. That is, we compute observables in the fully quenched ensemble, equivalent to non-supersymmetric 2d lattice Yang-Mills with a dynamical lattice spacing and adjoint scalars. Our numerical simulations indicate difficulties with the proposed continuum limit. We find that expectation values tend to those of the undeformed ``daughter theory,'' in spite of the deformation suggested by Cohen et al. In an effort to understand these results, we examine the zero action configurations, with and without the deformation. Based on these considerations, we are able to interpret the simulation results in terms of entropic effects.
dc.description1+16 pages, 2 figures, minor improvements to discussion
dc.identifierhttps://arxiv.org/abs/hep-lat/0312020
dc.identifierhttp://arxiv.org/abs/hep-lat/0312020
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/38774
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Theory
dc.titleDeconstruction, 2d lattice Yang-Mills, and the dynamical lattice spacing
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