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. Title of program: MCMIN Catalogue Id: ADHM_v1_0 Nature of problem 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. Versions of this program held in the CPC repository in Mendeley Data ADHM_v1_0; MCMIN; 10.1016/S0010-4655(97)00139-2 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)