The Algebra of Block Spin Renormalization Group Transformations
Mathematical Physics
2016-09-06 v1 math.MP
Abstract
Block spin renormalization group is the main tool used in our program to see symmetry breaking in a weakly interacting many Boson system on a three dimensional lattice at low temperature. In this paper, we discuss some of its purely algebraic aspects in an abstract setting. For example, we derive some "well known" identities like the composition rule and the relation between critical fields and background fields.
Cite
@article{arxiv.1609.00966,
title = {The Algebra of Block Spin Renormalization Group Transformations},
author = {Tadeusz Balaban and Joel Feldman and Horst Knörrer and Eugene Trubowitz},
journal= {arXiv preprint arXiv:1609.00966},
year = {2016}
}
Comments
18 pages, 1 figure