Hamiltonian lattice gauge models and the Heisenberg double

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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10 pages, latex, no figures

Scientific paper

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.

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