English

Scalar-QED \beta-functions near Planck's Scale

High Energy Physics - Theory 2009-10-30 v2 General Relativity and Quantum Cosmology

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 ϕϕ\phi^* \phi, are computed taking into account threshold effects. Analytic solutions are given in the infrared and ultraviolet limits.

Keywords

Cite

@article{arxiv.hep-th/9708111,
  title  = {Scalar-QED \beta-functions near Planck's Scale},
  author = {Gentil O. Pires},
  journal= {arXiv preprint arXiv:hep-th/9708111},
  year   = {2009}
}

Comments

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

R2 v1 2026-07-22T16:06:37.097Z