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

1998/07/13 by András László Pap, A. Pap, Pap, A. +3
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum many-body systems #Theoretical and Computational Physics #hep-lat

paper · pdf · doi:10.48550/arxiv.hep-lat/9807030

14 pages with 6 figures

arxiv created 1998/07/13 · arxiv updated 2009/12/01

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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