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.
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)