Classical energy momentum tensor renormalisation via effective field theory methods

TL;DR

This paper employs effective field theory methods to compute the classical energy-momentum tensor renormalization in scalar-tensor theories of gravity, providing corrections to gravitational and scalar potentials at first Post-Newtonian order.

Contribution

It introduces a novel application of EFT to scalar-tensor gravity, calculating tensor renormalization and potential corrections, and re-analyzing string tension discrepancies.

Findings

Computed energy-momentum tensor renormalization at first Post-Newtonian order.

Derived corrections to Newtonian and scalar potentials.

Re-analyzed string tension renormalization discrepancies.

Abstract

We apply the Effective Field Theory approach to General Relativity, introduced by Goldberger and Rothstein, to study point-like and string-like sources in the context of scalar-tensor theories of gravity. Within this framework we compute the classical energy-momentum tensor renormalization to first Post-Newtonian order or, in the case of extra scalar fields, up to first order in the (non-derivative) trilinear interaction terms: this allows to write down the corrections to the standard (Newtonian) gravitational potential and to the extra-scalar potential. In the case of one-dimensional extended sources we give an alternative derivation of the renormalization of the string tension enabling a re-analysis of the discrepancy between the results obtained by Dabholkar and Harvey in one paper and by Buonanno and Damour in another, already discussed in the latter.