Deconfinement transition in three-dimensional compact U(1) gauge theories coupled to matter fields

Details Deconfinement transition in three-dimensional compact U(1) gauge theories coupled to matter fields Deconfinement transition in three-dimensional compact U(1) gauge theories coupled to matter fields

2002-01-21

arxiv.org/abs/hep-th/0201168v2

Phys.Rev.Lett.88:232001,2002

Physics

High Energy Physics

High Energy Physics - Theory

RevTex4, 4 pages, no figures; version accepted for publication in PRL

Scientific paper

10.1103/PhysRevLett.88.232001

It is shown that permanent confinement in three-dimensional compact U(1) gauge theory can be destroyed by matter fields in a deconfinement transition. This is a consequence of a non-trivial infrared fixed point caused by matter, and an anomalous scaling dimension of the gauge field. This leads to a logarithmic interaction between the defects of the gauge-fields, which form a gas of magnetic monopoles. In the presence of logarithmic interactions, the original electric charges are unconfined. The confined phase which is permanent in the absence of matter fields is reached at a critical electric charge, where the interaction between magnetic charges is screened by a pair unbinding transition in a Kosterlitz-Thouless type of phase-transition.

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