Renormalization of Anisotropy and Glueball Masses on Tadpole Improved Lattice Gauge Action

TL;DR

This paper investigates the effects of tadpole improvement on anisotropic lattice gauge theories, showing it reduces discretization errors and minimally renormalizes anisotropy, with results on string tension and glueball masses.

Contribution

It provides a detailed numerical analysis of tadpole-improved U(1) lattice gauge theory on anisotropic lattices, highlighting reduced discretization errors and minimal anisotropy renormalization.

Findings

Tadpole improvement reduces discretization errors in static quark potential and glueball masses.

Bare anisotropy experiences very little renormalization with tadpole improvement.

Results include measurements of string tension, renormalized anisotropy, and scalar glueball masses.

Abstract

The Numerical calculations for tadpole-improved U(1) lattice gauge theory in three-dimensions on anisotropic lattices have been performed using standard path integral Monte Carlo techniques. Using average plaquette tadpole renormalization scheme, simulations were done with temporal lattice spacings much smaller than the spatial ones and results were obtained for the string tension, the renormalized anisotropy and scalar glueball masses. We find, by comparing the `regular' and `sideways' potentials, that tadpole improvement results in very little renormalization of the bare anisotropy and reduces the discretization errors in the static quark potential and in the glueball masses.