Artículos de revistas
QUASI-TOPOLOGICAL QUANTUM FIELD THEORIES AND Z(2) LATTICE GAUGE THEORIES
Fecha
2012Registro en:
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, SINGAPORE, v. 27, n. 23, supl. 1, Part 3, pp. 1476-1485, SEP 20, 2012
0217-751X
10.1142/S0217751X12501321
Autor
Ferreira, Miguel Jorge Bernabé
Pereira, Victor Alves
Teotonio Sobrinho, Paulo
Institución
Resumen
We consider a two-parameter family of Z(2) gauge theories on a lattice discretization T(M) of a three-manifold M and its relation to topological field theories. Familiar models such as the spin-gauge model are curves on a parameter space Gamma. We show that there is a region Gamma(0) subset of Gamma where the partition function and the expectation value h < W-R(gamma)> i of the Wilson loop can be exactly computed. Depending on the point of Gamma(0), the model behaves as topological or quasi-topological. The partition function is, up to a scaling factor, a topological number of M. The Wilson loop on the other hand, does not depend on the topology of gamma. However, for a subset of Gamma(0), < W-R(gamma)> depends on the size of gamma and follows a discrete version of an area law. At the zero temperature limit, the spin-gauge model approaches the topological and the quasi-topological regions depending on the sign of the coupling constant.