Path Integral Monte Carlo Approach to the U(1) Lattice Gauge Theory in (2+1) Dimensions

Abstract

Path Integral Monte Carlo simulations have been performed for U(1) lattice gauge theory in (2+1) dimensions on anisotropic lattices. We extractthe static quark potential, the string tension and the low-lying "glueball" spectrum.The Euclidean string tension and mass gap decrease exponentially at weakcoupling in excellent agreement with the predictions of Polyakov and G{\" o}pfert and Mack, but their magnitudes are five times bigger than predicted. Extrapolations are made to the extreme anisotropic or Hamiltonian limit, and comparisons are made with previous estimates obtained in the Hamiltonian formulation.

12 pages, 16 figures

References in corpus (3)

• Density Matrix Renormalisation Group Approach to the Massive Schwinger Model
• Green's Function Monte Carlo study of correlation functions in the (2+1)D U(1) lattice gauge theory
• Green's Function Monte Carlo study of SU(3) lattice gauge theory in (3+1)D

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