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

Abstract

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.

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

References in corpus (3)

• Quantum Electrodynamics of Particles on a Plane and the Chern-Simons Theory
• A New Quantum Vortex Operator and Its Correlation Functions
• Local Charged States of the Gauge Field in Three Dimensional Maxwell-Type Theories