Induced cosmological and Newton constants from towers of states

TL;DR

This paper demonstrates how cosmological and Newton constants can be predictably induced at one-loop in a quadratic gravity model coupled to infinite towers of matter fields, using heat kernel and Adler's methods.

Contribution

It introduces a model with quadratic gravity coupled to infinite matter towers, showing the induction of fundamental constants at one-loop, a novel approach in quantum gravity research.

Findings

Cosmological and Newton constants are induced at 1-loop.

The results are validated using heat kernel and Adler's methods.

The model involves quadratic gravity with Ricci and Weyl squared terms.

Abstract

We consider quadratic gravity with only Ricci squared and Weyl squared kinetic terms at tree-level, coupled to specific numbers of infinite towers of free scalars, Weyl fermions and gauge bosons in four dimensions. We show that predictable cosmological and Newton constants are induced at 1-loop. This result is cross-checked using both the heat kernel method and Adler's approach.