- t h / 95 02 12 1 v 1 2 0 Fe b 19 95 LMU - TPW 95 - 3 hep - th / 9502 . . . Hamiltonian lattice gauge models and the Heisenberg double
نویسنده
چکیده
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.
منابع مشابه
/ 95 01 14 3 v 1 3 1 Ja n 19 95 LMU - TPW 95 - 1 Gauge - invariant Hamiltonian formulation of lattice
It it known that to get the usual Hamiltonian formulation of lattice Yang-Mills theory in the temporal gauge A 0 = 0 one should place on every link the cotangent bundle of a Lie group. The cotangent bundle may be considered as a limiting case of a so called Heisenberg double of a Lie group which is one of the basic objects in the theory of Lie-Poisson and quantum groups. It is shown in the pape...
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تاریخ انتشار 1995