Maxwell Chern-Simons theory in a geometric representation

Lorenzo Leal, Oswaldo Zapata
2001 Physical Review D, Particles and fields  
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
doi:10.1103/physrevd.63.065010 fatcat:rswszqgrznfovm4wpyfrgfp63i