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

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

2001-11-23

arxiv.org/abs/hep-lat/0111045v1

Nucl.Phys.Proc.Suppl. 106 (2002) 257-259

Physics

High Energy Physics

High Energy Physics - Lattice

6 pages, 3 figures, Lattice2001(spectrum)

Scientific paper

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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