Reduction of the Kogut-Susskind fermion determinant

Abstract

It is shown for Euclidean Kogut-Susskind lattice fermions coupled to non-Abelian gauge fields how the associated determinant of a space-time square matrix can be reexpressed as a determinant of a space square matrix. A numerical scheme is outlined that updates the determinant exactly and thus extends the method of Blankenbecler, Scalapino, and Sugar to Euclidean-invariant gauge theories.