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Analytic calculation of the mass gap in U(1)_{2+1} lattice gauge theory

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.

preprint2001arXivOpen access
John A. L. McIntoshLloyd C. L. Hollenberg
hep-lat
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John A. L. McIntoshLloyd C. L. Hollenberg

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