Scalar QED $\hslash$-Corrections to the Coulomb Potential

Abstract

The leading long-distance 1-loop quantum corrections to the Coulomb potential are derived for scalar QED and their gauge-independence is explicitly checked. The potential is obtained from the direct calculation of the 2-particle scattering amplitude, taking into account all relevant 1-loop diagrams. Our investigation should be regarded as a first step towards the same programme for effective Quantum Gravity. In particular, with our calculation in the framework of scalar QED, we are able to demonstrate the incompleteness of some previous studies concerning the Quantum Gravity counterpart.

LaTeX, 16 pages, 4 figures as one ps-file

Cited by in corpus (9)

• Renormalization Group and Decoupling in Curved Space: III. The Case of Spontaneous Symmetry Breaking
• Higher-order regularity in local and nonlocal quantum gravity
• Gauge and parametrization ambiguity in quantum gravity
• Beyond the MSW effect: Neutrinos in a dense medium
• The influence of the Lande $g$-factor in the classical general relativistic description of atomic and subatomic systems
• Stringballs and Planckballs for Dark Matter
• Tachyons on Dp-branes from Abelian Higgs sphalerons
• Defect Theory of Positronium and Nontrivial QED Relations
• On macroscopic residual QCD force of electrodynamics