Scaling in the two-dimensional U(1)--Higgs model

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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Talk presented at LATTICE96(topology), 3 pages, latex2e, 2 Postscript figures, uses packages epsfig and espcrc2

Scientific paper

10.1016/S0920-5632(96)00726-8

We study the continuum limit of the $2D$ U(1)--Higgs model with variable
scalar field length, which is qualitatively different from the fixed length
case. Our simulations concentrate on the scaling behaviour of the topological
susceptibility, and an instanton-induced confinement mechanism of fractional
charges is numerically confirmed.

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