Quantized Non-Abelian Monopoles on S^3
| dc.creator | Maor, Irit | |
| dc.creator | Mathur, Harsh | |
| dc.creator | Vachaspati, Tanmay | |
| dc.date | 2007-08-10 | |
| dc.date | 2007-08-20 | |
| dc.date.accessioned | 2026-07-07T10:57:05Z | |
| dc.date.available | 2026-07-07T10:57:05Z | |
| dc.description | 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. | |
| dc.description | 18 pages, 5 figures. Minor changes, reference list updated | |
| dc.identifier | https://arxiv.org/abs/0708.1347 | |
| dc.identifier | http://arxiv.org/abs/0708.1347 | |
| dc.identifier | Phys.Rev.D76:105013,2007 | |
| dc.identifier | doi:10.1103/PhysRevD.76.105013 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/186634 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | High Energy Physics - Lattice | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Quantized Non-Abelian Monopoles on S^3 | |
| dc.type | text |