Speaker
Description
The increasing precision of gravitational-wave observations demands analytical frameworks capable of accurately describing the relativistic dynamics of compact binaries beyond standard perturbation theory. While post-Newtonian and post-Minkowskian expansions have been highly successful, their intrinsically perturbative nature limits their applicability in strongly relativistic regimes.
In this talk, I present a formulation of the classical gravitational two-body problem based on Exact Renormalization Group (ERG) techniques. We construct classical analogues of the Polchinski and Wetterich flow equations and clarify their relation to standard perturbative expansions. In particular, we show how the ERG flow systematically reproduces the post-Newtonian expansion.
We also explore non-perturbative approximation schemes within the ERG framework for the conservative dynamics of binary systems. These results suggest that ERG methods offer a promising intermediate approach between perturbation theory and numerical relativity, with potential applications to precision gravitational-wave modeling.
| Affiliation | Universidad de la Republica |
|---|---|
| Link to paper | https://arxiv.org/pdf/2510.27676 |
| Career status | Student |