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

Show simple item record Birmingham, Danny Rakowski, Mark 2012-08-01T09:08:14Z 2012-08-01T09:08:14Z 1993-06-25
dc.description 13 pages, LaTex, ITFA-93-22 en_US
dc.description.abstract We analyze the subdivision properties of certain lattice gauge theories for 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 $S^{2}\times S^{1}$. en_US
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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