Self Duality and Oblique Confinement in Planar Gauge Theories

Details Self Duality and Oblique Confinement in Planar Gauge Theories Self Duality and Oblique Confinement in Planar Gauge Theories

1995-02-06

arxiv.org/abs/hep-th/9502032v1

Nucl.Phys. B448 (1995) 505-532

Physics

High Energy Physics

High Energy Physics - Theory

32 pages, harvmac

Scientific paper

10.1016/0550-3213(95)00252-N

We investigate the non-perturbative structure of two planar $Z_p \times Z_p$ lattice gauge models and discuss their relevance to two-dimensional condensed matter systems and Josephson junction arrays. Both models involve two compact U(1) gauge fields with Chern-Simons interactions, which break the symmetry down to $Z_p \times Z_p$. By identifying the relevant topological excitations (instantons) and their interactions we determine the phase structure of the models. Our results match observed quantum phase transitions in Josephson junction arrays and suggest also the possibility of {\it oblique confining ground states} corresponding to quantum Hall regimes for either charges or vortices.

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