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Reaching the continuum limit in lattice gauge theory - without a computer

The scaling slope of the anti-symmetric mass gap M of compact U(1)_{2+1} lattice gauge theory is obtained analytically in the Hamiltonian formalism using the plaquette expansion. Based on the first four moments of the Hamiltonian with respect to a one-plaquette mean field state the results demonstrate clear scaling of M at and beyond the transition from strong to weak coupling. The scaling parameters determined agree well with the range of numerical determinations available.

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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