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U(1) lattice gauge theory in the electric-field representation

Koonin, S. E. and Umland, E. A. and Zirnbauer, M. R. (1986) U(1) lattice gauge theory in the electric-field representation. Physical Review D, 33 (6). pp. 1795-1805. ISSN 2470-0010. doi:10.1103/PhysRevD.33.1795.

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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.

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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.
Issue or Number:6
Record Number:CaltechAUTHORS:KOOprd86
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:6782
Deposited By: Tony Diaz
Deposited On:21 Dec 2006
Last Modified:08 Nov 2021 20:36

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