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Oblique Confinement and Phase Transitions in Chern-Simons Gauge Theories

M. C. Diamantini·P. Sodano·C. A. Trugenberger
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Abstract

We investigate non-perturbative features of a planar Chern-Simons gauge theory modeling the long distance physics of quantum Hall systems, including a finite gap M for excitations. By formulating the model on a lattice, we identify the relevant topological configurations and their interactions. For M bigger than a critical value, the model exhibits an oblique confinement phase, which we identify with Lauglin's incompressible quantum fluid. For M smaller than the critical value, we obtain a phase transition to a Coulomb phase or a confinement phase, depending on the value of the electromagnetic coupling.

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M. C. Diamantini, P. Sodano, C. A. Trugenberger. 1994-07-16. Oblique Confinement and Phase Transitions in Chern-Simons Gauge Theories. https://doi.org/10.1103/physrevlett.75.3517

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