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

Creators: Chin, S. A.; van Roosmalen, O. S.; Umland, E. A.; Koonin, S. E.

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.

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.

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