Generalized coarse-graining applied to a phi 4-theory: A model reduction-renormalization group synthesis
| dc.creator | Reynolds, David E. | |
| dc.date | 2005-06-08 | |
| dc.date | 2005-06-10 | |
| dc.date.accessioned | 2026-07-07T03:05:32Z | |
| dc.date.available | 2026-07-07T03:05:32Z | |
| dc.description | We develop an algorithmic, system-specific renormalization group (RG) procedure that is adapted from model reductions techniques from engineering control theory. The resulting "generalized" RG is a consistent generalization of the Wilsonian RG. We apply the generalized RG to a phi 4-field theory. By considering nonequilibrium in addition to equilibrium observables, we find that naive power counting break down. Additionally, a large class of short-wavelength perturbations can drive the system away from both the Gaussian and Wilson-Fisher fixed points. | |
| dc.description | 5 pages, double column, 1 figure | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0506204 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0506204 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/26484 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Generalized coarse-graining applied to a phi 4-theory: A model reduction-renormalization group synthesis | |
| dc.type | text |