Chern-Simons theory on the lattice

Abstract

We present new proposals for the representation of a Chern-Simons term on the lattice. In the first part, such a term is constructed from the fermion determinant, and in the second part directly from the Abelian gauge term. In both cases, the parity transformation is modified on the lattice without affecting its continuum limit.

3 pages, Lattice2002(theoretical)

References in corpus (4)

• Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation
• Overlap in odd dimensions
• On Pure Lattice Chern-Simons Gauge Theories
• Ginsparg-Wilson Fermions in Odd Dimensions

Cited by in corpus (8)

• Large-N reduced models of supersymmetric quiver, Chern-Simons gauge theories and ABJM
• Twisted SUSY Invariant Formulation of Chern-Simons Gauge Theory on a Lattice
• Modified Villain formulation of abelian Chern-Simons theory
• Lattice realization of compact $U(1)$ Chern-Simons theory with exact 1-symmetries
• Optimised Dirac Operators on the Lattice: Construction, Properties and Applications
• Lattice BF Theory, Dumbbells, and Composite Fermions
• Abelian Chern-Simons Gauge Theory on The Lattice
• Topological gauge actions on the lattice as Overlap fermion determinants