Path calculus for Z2-Higgs lattice gauge model

Abstract

The authors propose a nonperturbative approach to the Z2 model on the lattice. A Hamiltonian calculation in d=2 is performed using a loop-labelled basis explicitly constructed with 'cluster' structures. The Schrodinger problem leads to a linear set of finite difference equations that is solved numerically. Solutions for the energy of the vacuum and first excitation mass gap are found.