U ( 1 ) gauge theory over discrete space - time and phase transitions
نویسنده
چکیده
We first apply Connes’ noncommutative geometry to a finite point space. The explicit form of the action functional of U(1) gauge field on this n-point space is obtained. We then consider the case when the npoint space is replaced by {space-time} × {n-point space}. This action is shown to relate the Hamiltonian of the continuous-spin formulation of the Potts model. We argue that U(1) gauge theory on the discrete space-time determines the geometric origin of a class of phase transitions. Mathematics Subject Classifications (1991): 51P05, 81T13.
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تاریخ انتشار 2000