Scalar-QED β-functions near Planck's Scale

Abstract

The Renormalization Group Flow Equations of the Scalar-QED model near Planck's scale are computed within the framework of the average effective action. Exact Flow Equations, corrected by Einstein Gravity, for the running self-interacting scalar coupling parameter and for the running v.e.v. of φ* φ, are computed taking into account threshold effects. Analytic solutions are given in the infrared and ultraviolet limits.

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