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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 0556-2821. http://resolver.caltech.edu/CaltechAUTHORS:KOOprd86

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Abstract

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.


Item Type:Article
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.
Record Number:CaltechAUTHORS:KOOprd86
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:KOOprd86
Alternative URL:http://dx.doi.org/10.1103/PhysRevD.33.1795
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:6782
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:21 Dec 2006
Last Modified:26 Dec 2012 09:24

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