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

S. E. Koonin, E. A. Umland, M. R. Zirnbauer

Research output: Contribution to journalArticle

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.

Original languageEnglish (US)
Pages (from-to)1795-1805
Number of pages11
JournalPhysical Review D
Volume33
Issue number6
DOIs
StatePublished - 1986

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gauge theory
electric fields
random walk
eigenvectors
formulations
operators
ground state

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Cite this

U(1) lattice gauge theory in the electric-field representation. / Koonin, S. E.; Umland, E. A.; Zirnbauer, M. R.

In: Physical Review D, Vol. 33, No. 6, 1986, p. 1795-1805.

Research output: Contribution to journalArticle

Koonin, S. E. ; Umland, E. A. ; Zirnbauer, M. R. / U(1) lattice gauge theory in the electric-field representation. In: Physical Review D. 1986 ; Vol. 33, No. 6. pp. 1795-1805.
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