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arXiv · 0909.5374

On condensation of charged scalars in D=3 dimensions

Patricio Gaete·José A. Helaÿel-Neto
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Abstract

By using the gauge-invariant, but path-dependent, variables formalism, we study the impact of condensates on physical observables for a three-dimensional Higgs-like model. As a result, for the case of a physical mass term like $m_H^2 ϕ^ * ϕ$, we recover a screening potential. Interestingly enough, in the case of a "wrong-sign" mass term $- m_H^2 ϕ^ * ϕ$, unexpected features are found. It is shown that the interaction energy is the sum of an effective-Bessel and a linear potential, leading to the confinement of static charges. However, when a Chern-Simons term is included, the surprising result is that the theory describes an exactly screening phase.

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Patricio Gaete, José A. Helaÿel-Neto. 2009-12-10. On condensation of charged scalars in D=3 dimensions. https://doi.org/10.1016/j.physletb.2009.12.018

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