A Complete Renormalization Group Trajectory Between Two Fixed Points
Mathematical Physics
2008-11-26 v2 Statistical Mechanics
High Energy Physics - Theory
math.MP
Probability
Abstract
We give a rigorous nonperturbative construction of a massless discrete trajectory for Wilson's exact renormalization group. The model is a three dimensional Euclidean field theory with a modified free propagator. The trajectory realizes the mean field to critical crossover from the ultraviolet Gaussian fixed point to an analog recently constructed by Brydges, Mitter and Scoppola of the Wilson-Fisher nontrivial fixed point.
Cite
@article{arxiv.math-ph/0610018,
title = {A Complete Renormalization Group Trajectory Between Two Fixed Points},
author = {Abdelmalek Abdesselam},
journal= {arXiv preprint arXiv:math-ph/0610018},
year = {2008}
}
Comments
57 pages, Latex, 2 figures and 3 references added