U(1) Lattice Gauge theory and its Dual

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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12 pages, Latex inc. 4 figures

Scientific paper

The three dimensional U(1) Lattice Gauge, in the weak coupling limit, is dual
to a Discrete Gaussian model. We investigate this dual model and use it to
calculate properties of the U(1) theory. We find that, because of the nature of
the dual model, its advantages are outweighed by large autocorrelation times
generated when the dual system becomes disordered.

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