  There has been much recent progress in the understanding and reduction of the
computational cost of the Hybrid Monte Carlo algorithm for Lattice QCD as the
quark mass parameter is reduced. In this letter we present a new solution to
this problem, where we represent the fermionic determinant using (n)
pseudofermion fields, each with an (\nth) root kernel. We implement this within
the framework of the Rational Hybrid Monte Carlo (RHMC) algorithm. We compare
this algorithm with other recent methods in this area and find it is
competitive with them.
