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Published March 15, 1986 | public
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U(1) lattice gauge theory in the electric-field representation


The Hamiltonian formulation of U(1) lattice gauge theory is studied in a basis of eigenstates of the electric-field operator. The guided-random-walk algorithm of Chin et al. is transcribed to the electric-field basis, and exact ground-state properties of the theory in three space dimensions are calculated. A novel variational scheme is used to compute the potential between two static charges for two space dimensions.

Additional Information

©1986 The American Physical Society. Received 16 September 1985. This work was supported in part by the National Science Foundation, Grants Nos. PHY82-07332 and PHY83-15500. E.A.U. and M.R.Z. acknowledge support by Caltech Bantrell and Weingart Research Fellowships, respectively.


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October 16, 2023