Zeta Function Regularization of Infrared Divergences in Bose-Einstein Condensation
| dc.creator | Schakel, Adriaan M. J. | |
| dc.date | 2003-01-06 | |
| dc.date | 2003-01-24 | |
| dc.date.accessioned | 2026-07-07T02:49:02Z | |
| dc.date.available | 2026-07-07T02:49:02Z | |
| dc.description | The perturbative calculation of the effect of fluctuations in the nonzero frequency modes of a weakly interacting Bose gas on the condensation temperature is reviewed. These dynamic modes, discarded in most of the recent studies, have a temperature-induced energy gap that allows for a perturbative approach. The simple, yet powerful algorithm used to calculate the effect in a high-temperature expansion in conjunction with zeta function regularization of infrared divergences is explained in detail. The algorithm is shown to be reliable by demonstrating that it reproduces known results for a series of examples. With two-loop contributions properly included, the dynamic modes are seen not to lead to a shift in the condensation temperature, thus revising our earlier finding obtained at one loop. | |
| dc.description | 17 pages, no figures Updated version includes two-loop contributions | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0301050 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0301050 | |
| dc.identifier | J.Phys.Stud. 7 (2003) 140 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/20641 | |
| dc.subject | Condensed Matter | |
| dc.title | Zeta Function Regularization of Infrared Divergences in Bose-Einstein Condensation | |
| dc.type | text |