Manchester Particle Physics Seminars, Colloquia and Meetings

Matter Quantum Corrections to the Graviton Self-Energy and the Newtonian Potential

by Mr. Daniel Burns (University of Manchester)

Friday, 10 April 2015 from to (Europe/London)
at Schuster ( Niels Bohr Common Room )
The mechanism which keeps the graviton massless beyond the tree level has, thus far, not been adequately elucidated. In this talk, I will present the calculation of matter quantum effects on the graviton self energy on a Minkowski background, with a view to determining whether the graviton remains massless with the inclusion of these quantum corrections. To this end, I will 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, and use this theorem to demonstrate that the graviton remains massless with a suitable renormalisation of the cosmological constant. I will show some explicit results regarding this in an Abelian Higgs model with minimal coupling to gravity at the one-loop level. I shall also present some results regarding the matter quantum corrections to the Newtonian potential and show that the correction 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.​