Topological Excitations in Compact Maxwell-Chern-Simons Theory

Abstract

We construct a lattice model of compact (2+1)-dimensional Maxwell-Chern- Simons theory, starting from its formulation in terms of gauge invariant quantities proposed by Deser and Jackiw. We thereby identify the topological excitations and their interactions. These consist of monopolo- antimonopole pairs bounded by strings carrying both magnetic flux and electric charge. The electric charge renders the Dirac strings observable and endows them with a finite energy per unit length, which results in a linearly confining string tension. Additionally, the strings interact via an imaginary, topological term measuring the (self-) linking number of closed strings.

harvmac, CERN-TH. 6906/93, DFUPG 80/93

References in corpus (1)

• Intersections forms and the geometry of lattice Chern-Simons theory

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