Three-loop critical exponents, amplitude functions, and amplitude ratios from variational perturbation theory
Condensed Matter
2009-10-31 v1
Abstract
We use variational perturbation theory to calculate various universal amplitude ratios above and below T_c in minimally subtracted phi^4-theory with N components in three dimensions. In order to best exhibit the method as a powerful alternative to Borel resummation techniques, we consider only to two- and three-loops expressions where our results are analytic expressions. For the critical exponents, we also extend existing analytic expressions for two loops to three loops.
Keywords
Cite
@article{arxiv.cond-mat/0011329,
title = {Three-loop critical exponents, amplitude functions, and amplitude ratios from variational perturbation theory},
author = {H. Kleinert and B. Van den Bossche},
journal= {arXiv preprint arXiv:cond-mat/0011329},
year = {2009}
}
Comments
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_re318/preprint.html