Existence of an effective fermion vertex to lattice gravity

TL;DR

This paper demonstrates that an effective fermion vertex naturally emerges in lattice gravity coupled with fermions, linked to gravitational instantons and fermion zero modes, similar to phenomena in Yang-Mills theory.

Contribution

It introduces the existence of an effective fermion vertex in lattice gravity, connecting gravitational instantons with fermion zero modes, a novel insight in quantum gravity research.

Findings

Effective fermion vertex arises in lattice gravity with fermions.

Vertices are associated with gravitational instantons.

Analogous to fermion zero modes in Yang-Mills theory.

Abstract

It is shown that an effective fermion vertex arises to lattice gravity coupled with fermions. The vertices are associated with gravitational instantons, much as the effective fermion vertices arising due to the existence of fermion zero modes associated with instantons in the Yang-Mills theory.