Analytic calculation of the mass gap in U(1)2+1 lattice gauge theory
Abstract
An analytic calculation of the photon mass gap M of compact U(1)2+1 in the Hamiltonian formalism is performed utilizing the first four Hamiltonian moments with respect to a one-plaquette mean field state in the plaquette expansion method. Scaling of M is clearly evident at and beyond the transition from strong to weak coupling. The scaling behaviour agrees well with the range of results from numerical calculations.
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