Entropic Corrections to Coulomb's Law
Abstract
Two wellknown quantum corrections to the area law have been introduced in the literatures, namely, logarithmic and powerlaw corrections. Logarithmic corrections, arises from loop quantum gravity due to thermal equilibrium fluctuations and quantum fluctuations, while, powerlaw correction appears in dealing with the entanglement of quantum fields in and out the horizon. Inspired by Verlinde's argument on the entropic force, and assuming the quantum corrected relation for the entropy, we propose the entropic origin for the Coulomb's law in this note. Also we investigate the Uehling potential as a radiative correction to Coulomb potential in 1loop order and show that for some value of distance the entropic corrections of the Coulomb's law is compatible with the vacuumpolarization correction in QED. So, we derive modified Coulomb's law as well as the entropy corrected Poisson's equation which governing the evolution of the scalar potential ϕ. Our study further supports the unification of gravity and electromagnetic interactions based on the holographic principle.
 Publication:

International Journal of Theoretical Physics
 Pub Date:
 April 2012
 DOI:
 10.1007/s1077301109892
 arXiv:
 arXiv:1009.5561
 Bibcode:
 2012IJTP...51.1125H
 Keywords:

 Entropic force;
 Coulomb's Law;
 Poisson's equation;
 High Energy Physics  Theory
 EPrint:
 17 pages, 5 figures, accepted in IJTP