Monday, December 24, 2012

1108.1335 (J. Dimock)

The Renormalization Group According to Balaban - I. Small fields    [PDF]

J. Dimock
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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