Interpolation parameter and expansion for a three-dimensional nontrivial scalar infrared fixed point |
| |
Authors: | C. Wieczerkowski J. Rolf |
| |
Affiliation: | 1. Institut für Theoretische Physik I, Universit?t Münster, D-48149, Münster, Germany 2. Niels Bohr Institute, DK-2100, Copenhagen, Denmark
|
| |
Abstract: | We compute a nontrivial infraredϕ 3 4 -fixed point by means of an interpolation expansion in fixed dimension. The expansion is formulated for an infinitesimal momentum-space renormalization group. We choose a coordinate representation for the fixed-point interaction in derivative expansion, and compute its coordinates to high orders by means of computer algebra. We compute the series for the critical exponentv up to order 25 of interpolation expansion in this representation, and evaluate it using Padé, Borel-Padé, Borel-conformal-Padé, andD log -Padé resummation. The resummation returns 0.6262(13) as the value ofv. Our renormalization group uses canonical resealing, for whichη = 0 |
| |
Keywords: | Field theory renormalization group nontrivial infrared fixed point critical indices derivative expansion |
本文献已被 SpringerLink 等数据库收录! |
|