Phase Transition in Compact QED(3) and the Josephson Junction

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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9 pages, discussion added about the role of the solitons. To appear in JHEP

Scientific paper

10.1088/1126-6708/2001/08/046

We study the finite temperature phase transition in 2+1 dimensional compact QED and its dual theory: Josephson junction. Duality of these theories at zero temperature was established long time ago by Hosotani. Phase transition in compact QED is well studied and we employ the `duality' to study the superconductivity phase transition in a Josephson junction. For a thick junction we obtain a critical temperature in terms of the geometrical properties of the junction.

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