The Symmetry and renormalization group fixed points of quadratic hamiltonians

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/MICHEL/1964-1989/P_82_10/P_82_10.pdf

Michel, Louis

MICHEL

03/1982

Abstract : This paper studies the number and the nature of the fixed points of the renormalization group for the ?4 model, as used for instance in the Landau theory of second order phase transitions. It is shown that when it exists the stable fixed point is unique and a condition on its symmetry is given: it is often larger than the initial symmetry.
Finally counter examples, with v arbitrarily large, are given to the Dzyaloshinskii conjecture that there exist no stable fixed points when the Landau potential depends on more than V = 3 parameters.

THEOREME DU POINT FIXE

P/82/10

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MICHEL, “The Symmetry and renormalization group fixed points of quadratic hamiltonians,” Archives de l'IHES, consulté le 20 mai 2024, https://omeka.ihes.fr/document/P_82_10.pdf.