Graph-theory induced gravity and strongly-degenerate fermions in a self-consistent Einstein universe

TL;DR

This paper develops a UV-finite induced gravity model using graph-based mass matrices for matter fields, demonstrating a self-consistent Einstein universe solution with degenerate fermions.

Contribution

It introduces a graph-theoretic approach to construct mass spectra ensuring UV-finiteness in induced gravity models.

Findings

Existence of a self-consistent Einstein universe solution with degenerate fermions.

Construction of UV-finite gravity models using graph-based mass matrices.

Analysis of matter fields' one-loop effects on gravitational action.

Abstract

We study UV-finite theory of induced gravity. We use scalar fields, Dirac fields and vector fields as matter fields whose one-loop effects induce the gravitational action. To obtain the mass spectrum which satisfies the UV-finiteness condition, we use a graph-based construction of mass matrices. The existence of a self-consistent static solution for an Einstein universe is shown in the presence of degenerate fermion.