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

John A. L. McIntosh·Lloyd C. L. Hollenberg
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Abstract

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.

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John A. L. McIntosh, Lloyd C. L. Hollenberg. 2001-11-30. Reaching the continuum limit in lattice gauge theory - without a computer. https://doi.org/10.1016/s0370-2693(02)01958-5

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