Oberwolfach Reports
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Volume 8, Issue 1, 2011, pp. 781–824
DOI: 10.4171/OWR/2011/15
The Renormalization Group
Organized by: Margherita Disertori (1), Joel Feldman (2) and Manfred Salmhofer (3)
(1) Laboratoire de Mathématiques R. Salem, Université de Rouen, Avenue de l'Université, BP 12, 76801, SAINT ETIENNE DE ROUVRAY, FRANCE(2) Department of Mathematics, University of British Columbia, BC V6T 1Z2, VANCOUVER, CANADA
(3) Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 19, 69120, 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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