On the behavior of bosonic systems in the presence of topology fluctuations

TL;DR

This paper investigates how bosonic systems behave when spacetime topology fluctuates, using a scalar field model and a path integral approach that introduces a natural cutoff, revealing connections to parastatistics.

Contribution

It introduces a path integral formulation accounting for all spacetime topologies and links it to parastatistics, providing a novel way to regularize field theories in fluctuating topologies.

Findings

Path integral over all topologies derived.

Connection established between topology fluctuations and parastatistics.

A natural cutoff for field theory emerges from the model.

Abstract

The behavior of bosonic systems in the presence of space-time foam is analyzed within the simplistic model of a set of scalar fields on a flat background. We discuss the formula for the path integral which allows to account for the all possible topologies of spacetime. We show that the proper path integral originates from the parastatistics suggested first by H.S. Green and that it defines a cutoff for the field theory.