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Estimates on renormalization group transformations

Open Access article
 Printed: Aug 1998
  • D. Brydges
  • J. Dimock
  • T. R. Hurd
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We consider a specific realization of the renormalization group (RG) transformation acting on functional measures for scalar quantum fields which are expressible as a polymer expansion times an ultra-violet cutoff Gaussian measure. The new and improved definitions and estimates we present are sufficiently general and powerful to allow iteration of the transformation, hence the analysis of complete renormalization group flows, and hence the construction of a variety of scalar quantum field theories.
MSC Classifications: 81T08, 81T17 show english descriptions Constructive quantum field theory
Renormalization group methods
81T08 - Constructive quantum field theory
81T17 - Renormalization group methods

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