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Exact ground-state properties of the SU(2) Hamiltonian lattice gauge theory

Chin, S. A. and van Roosmalen, O. S. and Umland, E. A. and Koonin, S. E. (1985) Exact ground-state properties of the SU(2) Hamiltonian lattice gauge theory. Physical Review D, 31 (12). pp. 3201-3212. ISSN 0556-2821. http://resolver.caltech.edu/CaltechAUTHORS:CHIprd85

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Abstract

The SU(2) Hamiltonian lattice gauge theory is shown explicitly to be equivalent to a nonrelativistic quantum many-body problem in S3. By exploiting this equivalence, a many-body Monte Carlo algorithm is devised to solve for its ground-state properties. To the extent that a trial wave function consisting of a product of single-plaquette functions is a good approximation to the exact ground state, the present Monte Carlo method is shown to be an efficient means of calculating the ground-state energy with high precision.


Item Type:Article
Additional Information:©1985 The American Physical Society. Received 7 January 1985. We thank the Nuclear Theory Group at the Oak Ridge National Laboratory for the use of their FPS-164 array processor. This work was supported in part by the National Science Foundation Grants Nos. PHY 83-40400, PHY 82-15500, PHY 82-07332, and PHY 82-08439, and the Department of Energy Contract No. DE-AC02-76 ER 03074.
Record Number:CaltechAUTHORS:CHIprd85
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:CHIprd85
Alternative URL:http://dx.doi.org/10.1103/PhysRevD.31.3201
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:8078
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:01 Aug 2007
Last Modified:26 Dec 2012 09:36

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