Physics – Mathematical Physics
Scientific paper
2011-08-05
Physics
Mathematical Physics
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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