The Renormalization Group According to Balaban - I. Small fields

Physics – Mathematical Physics

Scientific paper

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45 pages

Scientific paper

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.

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