Yang-Mills instanton on a four dimensional wormhole: asymptotic stability in the energy space
Analysis of PDEs
2025-11-20 v1
Abstract
In this paper we consider an Yang-Mills field propagating in the dimensional wormhole spacetime. Assuming the spherically symmetric magnetic ansatz the problem reduces to a one dimensional non linear wave equation. This equation posses a degree one solution (instanton) which is odd in space. We consider small, odd perturbations of the instanton and show that it is conditionally asymptotically stable in the odd energy space.
Keywords
Cite
@article{arxiv.2511.14880,
title = {Yang-Mills instanton on a four dimensional wormhole: asymptotic stability in the energy space},
author = {Michał Kowalczyk and Javier Monreal},
journal= {arXiv preprint arXiv:2511.14880},
year = {2025}
}