Instability of fermions with respect to topology fluctuations

TL;DR

This paper investigates how fermionic fields are affected by topology fluctuations, revealing an inherent instability and proposing modifications to the theoretical framework to address these issues.

Contribution

It extends the sum over topologies formula to fermions and demonstrates their instability under topology fluctuations, suggesting modifications to the action.

Findings

Fermionic fields exhibit instability with respect to topology fluctuations

Proposes modifications to the fermionic action to address instability

Discusses potential phenomenological applications of the modified theory

Abstract

We extend our sum over topologies formula to fermions. We show that fermionic fields display an instability with respect to topology fluctuations. We present some phenomenological arguments for a modification of the action in the case of fermions and discuss possible applications.