The University of Southampton
University of Southampton Institutional Repository

Matter quantum corrections to the graviton self-energy and the Newtonian potential

Matter quantum corrections to the graviton self-energy and the Newtonian potential
Matter quantum corrections to the graviton self-energy and the Newtonian potential
We revisit the calculation of matter quantum effects on the graviton self-energy on a flat Minkowski background, with the aim to acquire a deeper understanding of the mechanism that renders the graviton massless. To this end, we derive a low-energy theorem which directly relates the radiative corrections of the cosmological constant to those of the graviton mass to all orders in perturbation theory. As an illustrative example, we consider an Abelian Higgs model with minimal coupling to gravity and show explicitly how a suitable renormalization of the cosmological constant leads to the vanishing of the graviton mass at the one-loop level. In the same Abelian Higgs model, we also calculate the matter quantum corrections to the Newtonian potential and present analytical formulae in terms of modified Bessel and Struve functions of the particle masses in the loop. We show that the correction to the Newtonian potential exhibits an exponential fall-off dependence on the distance $r$, once the non-relativistic limit with respect to the non-zero loop mass is carefully considered. For massless scalars, fermions and gauge bosons in the loops, we recover the well-known results presented in the literature.
hep-th, hep-ph
Burns, Daniel
40b9dc88-a54a-4365-b747-4456d9203146
Pilaftsis, Apostolos
31531b13-7f91-469f-88c0-0affea4e486f
Burns, Daniel
40b9dc88-a54a-4365-b747-4456d9203146
Pilaftsis, Apostolos
31531b13-7f91-469f-88c0-0affea4e486f

Burns, Daniel and Pilaftsis, Apostolos (2015) Matter quantum corrections to the graviton self-energy and the Newtonian potential. Physical Review D, 91 (6), [064047]. (doi:10.1103/PhysRevD.91.064047).

Record type: Article

Abstract

We revisit the calculation of matter quantum effects on the graviton self-energy on a flat Minkowski background, with the aim to acquire a deeper understanding of the mechanism that renders the graviton massless. To this end, we derive a low-energy theorem which directly relates the radiative corrections of the cosmological constant to those of the graviton mass to all orders in perturbation theory. As an illustrative example, we consider an Abelian Higgs model with minimal coupling to gravity and show explicitly how a suitable renormalization of the cosmological constant leads to the vanishing of the graviton mass at the one-loop level. In the same Abelian Higgs model, we also calculate the matter quantum corrections to the Newtonian potential and present analytical formulae in terms of modified Bessel and Struve functions of the particle masses in the loop. We show that the correction to the Newtonian potential exhibits an exponential fall-off dependence on the distance $r$, once the non-relativistic limit with respect to the non-zero loop mass is carefully considered. For massless scalars, fermions and gauge bosons in the loops, we recover the well-known results presented in the literature.

Text
1412.6021v2 - Accepted Manuscript
Download (6MB)

More information

Published date: 20 March 2015
Keywords: hep-th, hep-ph

Identifiers

Local EPrints ID: 429691
URI: http://eprints.soton.ac.uk/id/eprint/429691
PURE UUID: 59399d96-8381-42ca-9673-0a8542e8501c

Catalogue record

Date deposited: 03 Apr 2019 16:30
Last modified: 02 Dec 2019 17:40

Export record

Altmetrics

Contributors

Author: Daniel Burns
Author: Apostolos Pilaftsis

University divisions

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×