Topological Interpretations of Lattice Gauge Field Theory

Details Topological Interpretations of Lattice Gauge Field Theory Topological Interpretations of Lattice Gauge Field Theory

1997-10-01

arxiv.org/abs/q-alg/9710003v1

Commun.Math.Phys. 198 (1998) 47-81

Mathematics

Quantum Algebra

35 pages, amslatex, epsfig, many figures; email addresses: bullock@math.gwu.edu, frohman@math.uiowa.edu, kania@diamond.idbsu.e

Scientific paper

10.1007/s002200050471

We construct lattice gauge field theory based on a quantum group on a lattice of dimension 1. Innovations include a coalgebra structure on the connections, and an investigation of connections that are not distinguishable by observables. We prove that when the quantum group is a deformation of a connected algebraic group (over the complex numbers), then the algebra of observables forms a deformation quantization of the ring of characters of the fundamental group of the lattice with respect to the corresponding algebraic group. Finally, we investigate lattice gauge field theory based on quantum SL(2,C), and conclude that the algebra of observables is the Kauffman bracket skein module of a cylinder over a surface associated to the lattice.

Affiliated with

Also associated with

No associations

Rating

Topological Interpretations of Lattice Gauge Field Theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Topological Interpretations of Lattice Gauge Field Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Topological Interpretations of Lattice Gauge Field Theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-92697