Metropolis overrelaxation for lattice gauge theory for general relaxation parameter ω

I give a Metropolis variant of the lattice-gauge-theory overrelaxation algorithm which I had suggested previously, with the following properties: (i) It satisfies detailed balance exactly with respect to the Wilson lattice action; (ii) it incorporates a general overrelaxation parameter ω; (iii) as the lattice spacing a approaches zero, the Metropolis acceptance approaches unity; and (iv) in the approximation that each link is effectively coupled to an average staple, the microcanonical (ω=2) limit of the algorithm reduces to the lattice Metropolis algorithm of Creutz and Brown and Woch.