Direct Improvement of Hamiltonian Lattice Gauge Theory

TL;DR

This paper presents a direct method for improving Hamiltonian lattice gauge theory by adding gauge invariant terms to eliminate classical errors, enhancing the accuracy of the Hamiltonian formulation.

Contribution

It introduces a novel approach to improve Hamiltonian lattice gauge theory through gauge invariant corrections that cancel out leading classical errors.

Findings

Classical errors of order a^2 are eliminated.

Incorporation of gauge invariant terms improves Hamiltonian accuracy.

Discussion of tadpole improvement in the Hamiltonian context.

Abstract

We demonstrate that a direct approach to improving Hamiltonian lattice gauge theory is possible. Our approach is to correct errors in the Kogut-Susskind Hamiltonian by incorporating additional gauge invariant terms. The coefficients of these terms are chosen so that the order $a^2$ classical errors vanish. We conclude with a brief discussion of tadpole improvement in Hamiltonian lattice gauge theory.