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

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

Research output: Contribution to journalArticlepeer-review


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
Issue number6
StatePublished - 1986

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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