Interpolation of Non-abelian Lattice Gauge Fields

Abstract

We propose a method for interpolating non-abelian lattice gauge fields to the continuum, or to a finer lattice, which satisfies the properties of (i) transverse continuity, (ii) (lattice) rotation and translation covariance, (iii) gauge covariance, (iv) locality. These are the properties required for use in our earlier proposal for non-perturbative formulation and simulation of chiral gauge theories.Comment: A few typos corrected, a reference and a clarifying comment added. To appear in Nuclear Physics B. 16 pages, LateX, 1 figure. This interpolation scheme is intended for use in our formulation of lattice chiral gauge theory, Nucl. Phys. B455 (1990) 287, hep-ph/950633