English

The Renormalization Group According to Balaban - III. Convergence

Mathematical Physics 2015-06-15 v1 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 ultraviolet problem for the scalar phi^4 model on a toroidal lattice in dimension d=3. In this third paper we demonstrate convergence of the expansion and complete the proof of a stability bound.

Keywords

Cite

@article{arxiv.1304.0705,
  title  = {The Renormalization Group According to Balaban - III. Convergence},
  author = {J. Dimock},
  journal= {arXiv preprint arXiv:1304.0705},
  year   = {2015}
}

Comments

37 pages

R2 v1 2026-06-21T23:52:23.290Z