Highly Accurate Critical Exponents from Self-Similar Variational Perturbation Theory
| dc.creator | Kleinert, H. | |
| dc.creator | Yukalov, V. I. | |
| dc.date | 2004-02-05 | |
| dc.date.accessioned | 2026-07-07T02:56:19Z | |
| dc.date.available | 2026-07-07T02:56:19Z | |
| dc.description | We extend field theoretic variational perturbation theory by self-similar approximation theory, which greatly accelerates convergence. This is illustrated by re-calculating the critical exponents of O(N)-symmetric $\vp^4$ theory. From only three-loop perturbation expansions in $4- ε$ dimensions we obtain {\em analytic results for the exponents, with practically the same accuracy as those derived recently from ordinary field-theoretic variational perturbational theory to seventh order. In particular, the theory explains the best-measured exponent $\al\approx-0.0127$ of the specific heat peak in superfluid helium, found in a satellite experiment with a temperature resolution of nanoKelvin. In addition, our analytic expressions reproduce also the exactly known large-N behaviour of the exponents $ ν$ and $ γ= ν(2- η) $ with high precision. | |
| dc.description | Author Information under http://www.physik.fu-berlin.de/~kleinert/institution.html . Latest update of paper (including all PS fonts) at http://www.physik.fu-berlin.de/~kleinert/kleiner_re349/preprint.html | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0402163 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0402163 | |
| dc.identifier | Phys.Rev. E71 (2005) 026131 | |
| dc.identifier | doi:10.1103/PhysRevE.71.026131 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/23277 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Highly Accurate Critical Exponents from Self-Similar Variational Perturbation Theory | |
| dc.type | text |