Analytic calculation of the mass gap in U(1)_{2+1} lattice gauge theory
arXiv:hep-lat/0111045 · doi:10.1016/S0920-5632(01)01681-4
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.
6 pages, 3 figures, Lattice2001(spectrum)