Vacuum Structure of Yang-Mills Theory in Curved Spacetime
General Relativity and Quantum Cosmology
2009-09-01 v1
Abstract
The stability of the chromomagnetic Savvidy vacuum in QCD under the influence of positive Riemannian curvature is studied. The heat traces of the operators relevant to SO(2) gauge-invariant Yang-Mills fields and Faddeev-Popov ghosts are calculated on product spaces of S^2 and S^1 \times S^1. It is shown that the chromomagnetic vacuum with covariantly constant chromomagnetic field is stable in a certain set of radii and field strengths.
Keywords
Cite
@article{arxiv.0908.4456,
title = {Vacuum Structure of Yang-Mills Theory in Curved Spacetime},
author = {Samuel J. Collopy},
journal= {arXiv preprint arXiv:0908.4456},
year = {2009}
}