Particle theory

Abstract:

Lattice operators that correspond to the continuum topological charge density are, as is well known, dominated by fluctuations on the length scale of the ultraviolet cut-off and this completely obscures the pattern of topological fluctuations on physical length scales. In this paper we propose and test methods which are designed to reveal the underlying topological structure of any given Monte Carlo generated lattice field configuration. © 1989.

Abstract:

We carry out a preliminary calculation of the glueball mass spectrum and the effective string tension in SU(2) lattice gauge theory with 't Hooft's twisted boundary conditions. We make semi-quantitative comparisons with recent analytic results in small volumes and with previous Monte Carlo calculations for periodic boundary conditions. We find a reasonable measure of agreement between the form of our results and those of the analytic calculations. © 1989.

Abstract:

We show that the SU(2) lattice topological susceptibility, as calculated using the Phillips and Stone algorithm, is divergent in the continuum limit, when one uses the standard plaquette action. We discuss remedies and implications. © 1989.