Phase transition by curvature in three dimensional O ( N ) sigma model
نویسنده
چکیده
Using the effective potential, the large-N nonlinear O(N) sigma model with the curvature coupled term is studied on S 2 × R 1. We show that, for the conformally coupled case, the dynamical mass generation of the model in the strong-coupled regime on R 3 takes place for any finite scalar curvature (or radius of the S 2). If the coupling constant is larger than that of the conformally coupled case, there exist a critical curvature (radius) above (below) which the dynamical mass generation does not take place even in the strong-coupled regime. Below the critical curvature, the mass generation occurs as in the model on R 3 .
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