Euclidean wormhole solutions of Einstein-Yang-Mills theory in diverse dimensions

TL;DR

This paper constructs and analyzes Euclidean wormhole solutions in Einstein-Yang-Mills theory across multiple dimensions, revealing different properties such as regularity and singularity depending on the dimensionality and additional terms involved.

Contribution

It provides new explicit Euclidean wormhole solutions in diverse dimensions, including higher-dimensional scalar-like wormholes and singular four-dimensional solutions, as well as solutions with Chern-Simons terms in three dimensions.

Findings

Higher-dimensional solutions resemble scalar wormholes.

Four-dimensional solutions are singular with infinite Euclidean action.

Three-dimensional solutions include Chern-Simons terms.

Abstract

We solve the Euclidean Einstein equations with non-Abelian gauge fields of sufficiently large symmetry in various dimensions. In higher-dimensional spaces, we find the solutions which are similar to so-called scalar wormholes. In four-dimensional space-time, we find singular wormhole solutions with infinite Euclidean action. Wormhole solutions in the three-dimensional Einstein-Yang-Mills theory with a Chern-Simons term are also constructed.