A doubled discretisation of abelian Chern-Simons theory
David H. Adams
TL;DR
This paper introduces a new discretisation method for abelian Chern-Simons theory that accurately reproduces key topological quantities and discusses its relation to lattice fermion doubling.
Contribution
It presents a novel discretisation of the doubled abelian Chern-Simons theory that preserves continuum topological features and explores connections to lattice fermion doubling.
Findings
Reproduces continuum partition function and Wilson loop correlations
Establishes similarities with free spinor field theory
Provides a discretisation framework for topological quantum field theories
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.
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