Oberwolfach Reports

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Volume 8, Issue 1, 2011, pp. 781–824
DOI: 10.4171/OWR/2011/15

Published online: 2011-09-04

The Renormalization Group

Margherita Disertori[1], Joel Feldman[2] and Manfred Salmhofer[3]

(1) Rheinische Friedrich-Wilhelms-Universit├Ąt Bonn, Germany
(2) University of British Columbia, Vancouver, Canada
(3) Universit├Ąt Heidelberg, Germany

Invented as a multiscale approach to the theory of critical phenomena, the renormalization group has become a powerful mathematical tool in the analysis of infinite-dimensional systems. Its applications range from classical and quantum statistical mechanics and quantum field theory to partial differential equations, operator theory, and probability theory. Deep connections of renormalization group flows to geometric flows exist.

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Disertori Margherita, Feldman Joel, Salmhofer Manfred: The Renormalization Group. Oberwolfach Rep. 8 (2011), 781-824. doi: 10.4171/OWR/2011/15