Hamiltonian lattice gauge models and the Heisenberg double

Abstract

Hamiltonian lattice gauge models based on the assignment of the Heisenberg double of a Lie group to each link of the lattice are constructed in arbitrary space-time dimensions. It is shown that the corresponding generalization of the gauge-invariant Wilson line observables requires to attach to each vertex of the line a vertex operator which goes to the unity in the continuum limit.

10 pages, latex, no figures

References in corpus (2)

• Combinatorial quantization of the Hamiltonian Chern-Simons theory I
• Two dimensional lattice gauge theory based on a quantum group

Cited by in corpus (3)

• On a self-dual phase space for 3+1 lattice Yang-Mills theory
• $S{U}_q(2)$ Lattice Gauge Theory
• Hidden Quantum Group Symmetry in the Chiral Model