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paper

Onset of symmetry breaking by the functional RG method

arXiv:0907.0144 · doi:10.1142/S0217751X11052839

Abstract

A numerical algorithm is used to solve the bare and the effective potential for the scalar $ϕ^4$ model in the local potential approximation. An approximate dynamical Maxwell-cut is found which reveals itself in the degeneracy of the action for modes at some scale. This result indicates that the potential develop singular field dependence as far as one can see it by an lgorithm of limited numerical accuracy

19 pages, 10 figures, accepted version. To appear in International Journal of Modern Physics A