Maxwell Chern Simons Theory in a Geometric Representation

Abstract

We quantize the Maxwell Chern Simons theory in a geometric representation that generalizes the Abelian Loop Representation of Maxwell theory. We find that in the physical sector, the model can be seen as the theory of a massles scalar field with a topological interaction that enforces the wave functional to be multivalued. This feature allows to relate the Maxwell Chern Simons theory with the quantum mechanics of particles interacting through a Chern Simons field

12 pages, LaTeX

References in corpus (1)

• A Geometric Representation for the Proca Model

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