Maxwell Chern Simons Theory in a Geometric Representation

Details Maxwell Chern Simons Theory in a Geometric Representation Maxwell Chern Simons Theory in a Geometric Representation

2000-08-04

arxiv.org/abs/hep-th/0008049v1

Phys.Rev. D63 (2001) 065010

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, LaTeX

Scientific paper

10.1103/PhysRevD.63.065010

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

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