English

Yang-Mills Solutions on Euclidean Schwarzschild Space

High Energy Physics - Theory 2009-11-07 v2 General Relativity and Quantum Cosmology

Abstract

We show that the apparently periodic Charap-Duff Yang-Mills `instantons' in time-compactified Euclidean Schwarzschild space are actually time independent. For these solutions, the Yang-Mills potential is constant along the time direction (no barrier) and therefore, there is no tunneling. We also demonstrate that the solutions found to date are three dimensional monopoles and dyons. We conjecture that there are no time-dependent solutions in the Euclidean Schwarzschild background.

Keywords

Cite

@article{arxiv.hep-th/0201050,
  title  = {Yang-Mills Solutions on Euclidean Schwarzschild Space},
  author = {Bayram Tekin},
  journal= {arXiv preprint arXiv:hep-th/0201050},
  year   = {2009}
}

Comments

12 pages, references added, version to appear in PRD

R2 v1 2026-07-22T15:08:32.151Z