Operators for Parabolic Block Spin Transformations
Mathematical Physics
2016-09-06 v1 math.MP
Abstract
This paper is a contribution to a program to see symmetry breaking in a weakly interacting many Boson system on a three dimensional lattice at low temperature. It is part of an analysis of the "small field" approximation to the "parabolic flow" which exhibits the formation of a "Mexican hat" potential well. Bounds on the fluctuation integral covariance, as well as on some other linear operators, are an important ingredient in our renormalization group step analysis. These bounds are proven here.
Cite
@article{arxiv.1609.00971,
title = {Operators for Parabolic Block Spin Transformations},
author = {Tadeusz Balaban and Joel Feldman and Horst Knörrer and Eugene Trubowitz},
journal= {arXiv preprint arXiv:1609.00971},
year = {2016}
}
Comments
64 pages, 1 figure