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

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

2001-11-30

arxiv.org/abs/hep-lat/0111061v1

Phys.Lett. B538 (2002) 207-212

Physics

High Energy Physics

High Energy Physics - Lattice

4 pages, 2 figures

Scientific paper

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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