English

Maxwell Chern Simons Theory in a Geometric Representation

High Energy Physics - Theory 2009-10-31 v1

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

Keywords

Cite

@article{arxiv.hep-th/0008049,
  title  = {Maxwell Chern Simons Theory in a Geometric Representation},
  author = {Lorenzo Leal},
  journal= {arXiv preprint arXiv:hep-th/0008049},
  year   = {2009}
}

Comments

12 pages, LaTeX

R2 v1 2026-07-22T14:59:23.918Z