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Condensation phenomena in two-flavor scalar QED at finite chemical\n potential

2015/01/26 by A. Schmidt, Schmidt, Alexander, Philippe de Forcrand +3 · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High-Energy Particle Collisions Research #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.1501.06472

openalex publication_date 2015/01/26 · openalex created_date 2022/09/30 · openalex updated_date 2026/07/28

Abstract

We study condensation in two-flavored, scalar QED with non-degenerate masses\nat finite chemical potential. The conventional formulation of the theory has a\nsign problem at finite density which can be solved using an exact reformulation\nof the theory in terms of dual variables. We perform a Monte Carlo simulation\nin the dual representation and observe a condensation at a critical chemical\npotential \μc.\n After determining the low-energy spectrum of the theory we try to establish a\nconnection between \μc and the mass of the lightest excitation of the\nsystem, which are naively expected to be equal. It turns out, however, that the\nrelation of the critical chemical potential to the mass spectrum in this case\nis non-trivial: Taking into account the form of the condensate and making some\nsimplifying assumptions we suggest an adequate explanation which is supported\nby numerical results.\n

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