Duals for Non – Abelian Lattice Gauge Theories by Categorical Methods

@inproceedings{Grosse1998DualsFN,
  title={Duals for Non – Abelian Lattice Gauge Theories by Categorical Methods},
  author={Harald Grosse and K. Schlesinger},
  year={1998}
}
We introduce duals for non-abelian lattice gauge theories in dimension at least three by using a categorical approach to the notion of duality in lattice theories. We first discuss the general concepts for the case of a dual-triangular lattice (i.e. the dual lattice is triangular) and find that the commutative tetrahedron condition of category theory can directly be used to define a gauge invariant action for the dual theory. We then consider the cubic lattice (where the dual is cubic again… CONTINUE READING