The Symmetry and renormalization group fixed points of quadratic hamiltonians
THEOREME DU POINT FIXE
RENORMALISATION
GROUPES DE SYMETRIE
OPERATEUR HAMILTONIEN
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.
MICHEL
P/82/10
IHES
03/1982
A4
15 f.
EN
TEXTE
PREPUBLICATION
P_82_10.pdf
1982