Monte Carlo optimization applied to symmetry breaking. The authors 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. This algorithm is robust and generally applicable. For large problems they have also developed a parallel version. They apply the method to the Landau potential of the $d$-wave abnormal superconductor, He-3, and a SU(5) Higgs potential.

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  1. Kim, Jai Sam; Tolédano, J.C.; Tolédano, P.: Monte Carlo optimization applied to symmetry breaking (1998)