10–14 Jul 2023
Radboud University Nijmegen
Europe/Amsterdam timezone

High-energy properties of the matter-graviton scattering in quadratic gravity

10 Jul 2023, 16:45
15m
CC3

CC3

Speaker

Yugo Abe (National Institute of Technology, Miyakonojo College)

Description

We obtain the matter-graviton scattering amplitude in the gravitational theory of quadratic curvature, which has R_{μν}^{2} term in the action. Unitarity bound is not satisfied because of the existence of negative norm states, while an analog of unitarity bound for S-matrix unitarity holds due to the cancelation among the positive norm states and negative norm ones in the unitarity summation in the optical theorem. The violation of unitarity bound is a counter example of Llewellyn Smith’s conjecture on the relation between tree-level unitarity and renormalizability. We have recently proposed a new conjecture that an analog of the unitarity bound for S-matrix unitarity gives the equivalent conditions to those for renormalizability. We show that the gravitational theory of quadratic curvature is a nontrivial example consistent with our conjecture. This talk based on work in arXiv:2210.13666.

Presentation materials