A doubled discretisation of abelian Chern-Simons theory

Abstract

A new discretisation of a doubled, i.e. BF, version of the pure abelian Chern-Simons theory is presented. It reproduces the continuum expressions for the topological quantities of interest in the theory, namely the partition function and correlation function of Wilson loops. Similarities with free spinor field theory are discussed which are of interest in connection with lattice fermion doubling.

Comments: 5 pages, revtex, 2 ps figures (epsf required). To appear in Phys.Rev.Lett