Gravity and Quantum Fields in Discrete Space-Times

TL;DR

This paper explores a 6D discretized curved disk model to analyze graviton and fermion mass spectra, leveraging curvature for flexible mass scale generation and potential applications like small fermion masses.

Contribution

It introduces a detailed discretization of a 6D curved disk, providing new insights into mass spectra and applications in fermion mass generation.

Findings

Discretization leads to specific graviton and fermion mass spectra.

Curvature allows flexible adjustment of mass scales.

Potential for generating small fermion masses.

Abstract

In a 6D model, where the extra dimensions form a discretised curved disk, we investigate the mass spectra and profiles of gravitons and Dirac fermions. The discretisation is performed in detail leading to a star-like geometry. In addition, we use the curvature of the disk to obtain the mass scales of this model in a more flexible way. We also discuss some applications of this setup like generating small fermion masses.