Scalar-QED \beta-functions near Planck's Scale
Gentil O. Pires (CBPF - Rio de Janeiro)
TL;DR
This paper computes the Renormalization Group flow equations for Scalar-QED near Planck's scale, incorporating gravity effects and threshold phenomena, providing analytic solutions in extreme energy limits.
Contribution
It presents the first detailed derivation of RG flow equations for Scalar-QED near Planck scale including Einstein gravity corrections and threshold effects.
Findings
Analytic solutions in infrared and ultraviolet limits
Inclusion of Einstein gravity corrections in flow equations
Threshold effects significantly influence the RG flow
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 , are computed taking into account threshold effects. Analytic solutions are given in the infrared and ultraviolet limits.
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