Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-08-10
Phys.Rev.D76:105013,2007
Physics
High Energy Physics
High Energy Physics - Theory
18 pages, 5 figures. Minor changes, reference list updated
Scientific paper
10.1103/PhysRevD.76.105013
A possible electric-magnetic duality suggests that the confinement of non-Abelian electric charges manifests itself as a perturbative quantum effect for the dual magnetic charges. Motivated by this possibility, we study vacuum fluctuations around a non-Abelian monopole-antimonopole pair treated as point objects with charges g=\pm n/2 (n=1,2,...), and placed on the antipodes of a three sphere of radius R. We explicitly find all the fluctuation modes by linearizing and solving the Yang-Mills equations about this background field on a three sphere. We recover, generalize and extend earlier results, including those on the stability analysis of non-Abelian magnetic monopoles. We find that for g \ge 1 monopoles there is an unstable mode that tends to squeeze magnetic flux in the angular directions. We sum the vacuum energy contributions of the fluctuation modes for the g=1/2 case and find oscillatory dependence on the cutoff scale. Subject to certain assumptions, we find that the contribution of the fluctuation modes to the quantum zero point energy behaves as -R^{-2/3} and hence decays more slowly than the classical -R^{-1} Coulomb potential for large R. However, this correction to the zero point energy does not agree with the linear growth expected if the monopoles are confined.
Maor Irit
Mathur Harsh
Vachaspati Tanmay
No associations
LandOfFree
Quantized Non-Abelian Monopoles on S^3 does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Quantized Non-Abelian Monopoles on S^3, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantized Non-Abelian Monopoles on S^3 will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-46251