Comment on "Quantum critical paraelectrics and the Casimir effect in time"
| dc.creator | Chamati, H. | |
| dc.creator | Tonchev, N. S. | |
| dc.date | 2009-03-30 | |
| dc.date.accessioned | 2026-07-07T12:58:11Z | |
| dc.date.available | 2026-07-07T12:58:11Z | |
| dc.description | At variance with the authors' statement [L. Pálová, P. Chandra and P. Coleman, Phys. Rev. B 79, 075101 (2009)], we show that the behavior of the universal scaling amplitude of the gap function in the phonon dispersion relation as a function of the dimensionality $d$, obtained within a self--consistent one--loop approach, is consistent with some previous analytical results obtained in the framework of the $ε$--expansion in conjunction with the field theoretic renormalization group method [S. Sachdev, Phys. Rev. B 55, 142 (1997)] and the exact calculations corresponding to the spherical limit i.e. infinite number $N$ of the components of the order parameter [H. Chamati. and N. S. Tonchev, J. Phys. A: Math. Gen. 33, 873 (2000)]. Furthermore we determine numerically the behavior of the "temporal" Casimir amplitude as a function of the dimensionality $d$ between the lower and upper critical dimension and found a maximum at $d=2.9144$. This is confirmed via an expansion near the upper dimension $d=3$. | |
| dc.description | 7 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/0903.5229 | |
| dc.identifier | http://arxiv.org/abs/0903.5229 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/225158 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Comment on "Quantum critical paraelectrics and the Casimir effect in time" | |
| dc.type | text |