Kastening, Boris (2004)
Nonuniversal critical quantities from variational perturbation theory and their application to the Bose-Einstein condensation temperature shift.
In: Physical Review A, 70 (4)
doi: 10.1103/PhysRevA.70.043621
Artikel, Bibliographie
Kurzbeschreibung (Abstract)
For an OsNd-symmetric scalar field theory with Euclidean action ed3 xf 12 u ¹fu2+ 12 rf2+ 14!uf4g, where f=sf1 , . . . ,fNd is a vector of N real-field components, variational perturbation theory through seven loops is employed for N=0,1,2,3,4 to compute the renormalized value of r / sN+2du2 at the phase transition. Its exact large-N limit is determined as well. We also extend an earlier computation of the interaction-induced shift Dkf2l /Nu from N=1,2,4 to N=0,3. For N=2, the results for the two quantities are used to compute the second-order shift of the condensation temperature of a dilute Bose gas, both in the homogenous case and for the wide limit of a harmonic trap. Our results are in agreement with earlier Monte Carlo simulations for N =1,2,4. The Appendix contains previously unpublished numerical seven-loop data.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2004 |
| Autor(en): | Kastening, Boris |
| Art des Eintrags: | Bibliographie |
| Titel: | Nonuniversal critical quantities from variational perturbation theory and their application to the Bose-Einstein condensation temperature shift |
| Sprache: | Englisch |
| Publikationsjahr: | 20 Oktober 2004 |
| Verlag: | American Physical Society |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Physical Review A |
| Jahrgang/Volume einer Zeitschrift: | 70 |
| (Heft-)Nummer: | 4 |
| DOI: | 10.1103/PhysRevA.70.043621 |
| Kurzbeschreibung (Abstract): | For an OsNd-symmetric scalar field theory with Euclidean action ed3 xf 12 u ¹fu2+ 12 rf2+ 14!uf4g, where f=sf1 , . . . ,fNd is a vector of N real-field components, variational perturbation theory through seven loops is employed for N=0,1,2,3,4 to compute the renormalized value of r / sN+2du2 at the phase transition. Its exact large-N limit is determined as well. We also extend an earlier computation of the interaction-induced shift Dkf2l /Nu from N=1,2,4 to N=0,3. For N=2, the results for the two quantities are used to compute the second-order shift of the condensation temperature of a dilute Bose gas, both in the homogenous case and for the wide limit of a harmonic trap. Our results are in agreement with earlier Monte Carlo simulations for N =1,2,4. The Appendix contains previously unpublished numerical seven-loop data. |
| Fachbereich(e)/-gebiet(e): | 11 Fachbereich Material- und Geowissenschaften > Materialwissenschaft > Fachgebiet Dünne Schichten 11 Fachbereich Material- und Geowissenschaften > Materialwissenschaft 11 Fachbereich Material- und Geowissenschaften |
| Hinterlegungsdatum: | 09 Jan 2013 08:52 |
| Letzte Änderung: | 05 Mär 2013 10:04 |
| PPN: | |
| Export: | |
| Suche nach Titel in: | TUfind oder in Google |
 |
Frage zum Eintrag |
Optionen (nur für Redakteure)
 |
Redaktionelle Details anzeigen |
Drucken
Impressum