One-loop corrections to the instanton transition in the Abelian Higgs model: Gel'fand-Yaglom and Green's function methods
| dc.creator | Baacke, Jurgen | |
| dc.date | 2008-03-31 | |
| dc.date.accessioned | 2026-07-07T11:49:27Z | |
| dc.date.available | 2026-07-07T11:49:27Z | |
| dc.description | The fluctuation determinant, the preexponential factor for the instanton transition, has been computed several years ago in the Abelian Higgs model, using a method based on integrating the Euclidean Green' function. A more elegant method for computing functional determinants, using the Gel'fand-Yaglom theorem, has been applied recently to a variety of systems. This method runs into difficulties if the background field has nontrivial topology, as is the case for the instanton in the Abelian Higgs model. A shift in thre effective centrifugal barriers makes the s-wave contribution infinite, an infinity that is compensated by the summation over the other partial waves. This requires some modifications of the Gel'fand-Yaglom method which are the main subject of this work. We present here both, the Green' s function and the Gel'fand-Yaglom method and compare the numerical results in detail. | |
| dc.description | 34 pages, 5 figures | |
| dc.identifier | https://arxiv.org/abs/0803.4333 | |
| dc.identifier | http://arxiv.org/abs/0803.4333 | |
| dc.identifier | Phys.Rev.D78:065039,2008 | |
| dc.identifier | doi:10.1103/PhysRevD.78.065039 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/203240 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | One-loop corrections to the instanton transition in the Abelian Higgs model: Gel'fand-Yaglom and Green's function methods | |
| dc.type | text |