paper

The Renormalization Group According to Balaban - I. Small fields

arXiv:1108.1335 · doi:10.1142/S0129055X13300100

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.

52 pages. Some corrections, additions, reorganization

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