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

S. A. Chin, O. S. Van Roosmalen, E. A. Umland, S. E. Koonin

Research output: Contribution to journalArticle

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.

Original languageEnglish (US)
Pages (from-to)3201-3212
Number of pages12
JournalPhysical Review D
Volume31
Issue number12
DOIs
StatePublished - 1985

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gauge theory
ground state
many body problem
Monte Carlo method
equivalence
wave functions
products
approximation
energy

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Cite this

Exact ground-state properties of the SU(2) Hamiltonian lattice gauge theory. / Chin, S. A.; Van Roosmalen, O. S.; Umland, E. A.; Koonin, S. E.

In: Physical Review D, Vol. 31, No. 12, 1985, p. 3201-3212.

Research output: Contribution to journalArticle

Chin, S. A. ; Van Roosmalen, O. S. ; Umland, E. A. ; Koonin, S. E. / Exact ground-state properties of the SU(2) Hamiltonian lattice gauge theory. In: Physical Review D. 1985 ; Vol. 31, No. 12. pp. 3201-3212.
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