Massive Quantum Vortex Excitations in a Pure Gauge Abelian Theory in 2+1D

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Latex, 14 pages, one figure available upon request as a postscript file

Scientific paper

10.1142/S0217751X97002279

We introduce and study a pure gauge abelian theory in 2+1D in which massive quantum vortex states do exist in the spectrum of excitations. This theory can be mapped in a three dimensional gas of point particles with a logarithmic interaction, in the grand-canonical ensemble. We claim that this theory is the 2+1D analog of the Sine-Gordon, the massive vortices being the counterparts of Sine-Gordon solitons. We show that a symmetry breaking, order parameter, similar to the vacuum expectation value of a Higgs field does exist.

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