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 ${\varphi }^{\ast }\varphi$, are computed taking into account threshold effects. Analytic solutions are given in the infrared and ultraviolet limits.

19 pp, Latex; typos corrected and references added. To appear in the Int. J. Mod. Phys. A

References in corpus (5)

• Exact evolution equation for the effective potential
• General relativity as an effective field theory: The leading quantum corrections
• Nonperturbative Evolution Equation for Quantum Gravity
• The renormalization group flow of the dilaton potential
• Manifestations of Quantum Gravityin Scalar QED Phenomena

Cited by in corpus (1)

• Quantum Einstein Gravity