Static quark potential and string tension for compact U(1) in (2+1) dimensions

Details Static quark potential and string tension for compact U(1) in (2+1) dimensions Static quark potential and string tension for compact U(1) in (2+1) dimensions

2002-08-25

arxiv.org/abs/hep-lat/0208047v1

Physics

High Energy Physics

High Energy Physics - Lattice

40 pages, 11 figures

Scientific paper

Compact U(1) lattice gauge theory in (2+1) dimensions is studied on anisotropic lattices using Standard Path Integral Monte Carlo techniques. We extract the static quark potential and the string tension from 1.0 <= Dtau <= 0.333 simulations at 1.0 <= beta <= 3.0. Estimating the actual value of the renormalization constant, (c = 44), we observe the evidence of scaling in the string tension for 1.4142 <= beta <= 2.5; with the asymptotic behaviour in the large-beta limit given by K sqrt(beta) = e^(-2.494 beta +2.29). Extrapolations are made to the extreme anisotropic or "Hamiltonian" limit, and comparisons are made with previous estimates obtained by various other methods in the Hamiltonian formulation.

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