The Renormalization Group According to Balaban - I. Small fields
Mathematical Physics
2017-01-25 v2 math.MP
Abstract
This is an expository account of Balaban's approach to the renormalization group. The method is illustrated with a treatment of the the ultraviolet problem for the scalar phi^4 model on a toroidal lattice in dimension d=3. This yields another proof of the stability bound. In this first paper we analyze the small field contribution to the partition function.
Cite
@article{arxiv.1108.1335,
title = {The Renormalization Group According to Balaban - I. Small fields},
author = {J. Dimock},
journal= {arXiv preprint arXiv:1108.1335},
year = {2017}
}
Comments
52 pages. Some corrections, additions, reorganization