A Lattice Inspired Model for Monopole Dynamics

Abstract

The site-reduction of U(1) lattice gauge theory along the spatial directions is used to model the monopole dynamics. The reduced theory is that of the angle-valued coordinates on the discrete worldline. Below the critical coupling $g_c=1.125$ and temperature $T_c=0.335$ the model exhibits a first order phase transition. It is argued that the phase structure matches with the proposed role for magnetic monopoles in the confinement mechanism based on the dual Meissner effect.

Comments: v1: 12 pages, 5 figs. v2: title is changed, and also presentation!