Monte Carlo optimization applied to symmetry breaking

Abstract

We present a Monte Carlo optimization algorithm to search for the boundary points of the orbit space which is important in determining the symmetry breaking directions in the Higgs potential and the Landau potential. Our algorithm is robust and generally applicable. For large problems we have also developed a parallel version. We apply the method to the Landau potential of the d-wave abnormal superconductor, He-3, and a SU(5) Higgs potential. (C) 1998 Elsevier Science B.V.