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Dual lattice simulation of the abelian gauge-Higgs model at finite density: an exploratory proof of concept study
Ydalia Delgado Mercado1, Christof Gattringer, Alexander Schmidt
1Institut für Physik, FB Theoretische Physik, Universität Graz, 8010 Graz, Austria.
Abstract:
The U(1) gauge-Higgs model with two flavors of opposite charge and a chemical potential is mapped exactly to a dual representation where matter fields correspond to loops of flux and the gauge fields are represented by surfaces. The complex action problem of the conventional formulation at finite chemical potential μ is overcome in the dual representation, and the partition sum has only real and nonzero contributions. We simulate the model in the dual representation using a generalized worm algorithm, explore the phase diagram, and study condensation phenomena at finite μ.
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