Gas of wormholes in Euclidean quantum field theory

TL;DR

This paper models spacetime foam as a gas of wormholes in Euclidean quantum field theory, showing that certain distributions can modify ultraviolet behavior and lead to finite theories.

Contribution

It introduces a model of spacetime foam with wormholes that can alter ultraviolet behavior and produce finite quantum field theories.

Findings

Large-distance effects renormalize mass and charge.

Certain wormhole distributions modify Green functions.

Some configurations lead to finite quantum field theories.

Abstract

We model the spacetime foam picture by a gas of wormholes in Euclidean field theory. It is shown that at large distances the presence of such a gas leads merely to a renormalization of mass and charge values. We also demonstrate that there exist a class of specific distributions of point-like wormholes which essentially change the ultraviolet behavior of Green functions and lead to finite quantum field theories.