SISSA Open Science

# Subdivision Analysis of Topological $Z_{p}$ Lattice Gauge Theory

 dc.contributor.author Birmingham, Danny dc.contributor.author Rakowski, Mark dc.date.accessioned 2012-08-01T09:08:14Z dc.date.available 2012-08-01T09:08:14Z dc.date.issued 1993-06-25 dc.identifier.uri http://preprints.sissa.it/xmlui/handle/1963/6058 dc.description 13 pages, LaTex, ITFA-93-22 en_US dc.description.abstract We analyze the subdivision properties of certain lattice gauge theories for en_US the discrete abelian groups $Z_{p}$, in four dimensions. In these particular models we show that the Boltzmann weights are invariant under all $(k,l)$ subdivision moves, when the coupling scale is a $p$th root of unity. For the case of manifolds with boundary, we demonstrate analytically that Alexander type $2$ and $3$ subdivision of a bounding simplex is equivalent to the insertion of an operator which equals a delta function on trivial bounding holonomies. The four dimensional model then gives rise to an effective gauge invariant three dimensional model on its boundary, and we compute the combinatorially invariant value of the partition function for the case of $S^{3}$ and $S^{2}\times S^{1}$. dc.language.iso en en_US dc.publisher SISSA en_US dc.relation.ispartofseries arXiv:hep-th/9306136v1; dc.relation.ispartofseries SISSA;91/93/EP dc.title Subdivision Analysis of Topological $Z_{p}$ Lattice Gauge Theory en_US dc.type Preprint en_US dc.contributor.department Elementary Particle Theory en_US dc.miur.area -1 en_US dc.contributor.area Physics en_US
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