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Simulation of an Abelian Higgs theory in world line (polymer) representation

A. Pap·P. Suranyi
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Abstract

In World Line Path Integral representation Abelian Higgs theories admit a curvature term in the Hamiltonian. Using Monte Carlo simulations we show that the curvature term drives a phase transition at sufficiently strong coupling. In quenched approximation this phase transition is smooth, with implications that the model reduces to a Goldstone theory. Critical properties of the system near the transition are investigated and found to be consistent with mean field behavior.

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A. Pap, P. Suranyi. 1998-07-13. Simulation of an Abelian Higgs theory in world line (polymer) representation. https://arxiv.org/abs/hep-lat/9807030

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