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Renormalization group fixed points of general n-vector models
Abstract : We make a general study of symmetry and stability of the fixed points of the quartic Hamiltonian
of an n-component field (or order parameter} for n&4. Simple proofs of known results are given.
Among new results, we shou that when it…
of an n-component field (or order parameter} for n&4. Simple proofs of known results are given.
Among new results, we shou that when it…
Landau theory of second order phase transitions and invariant theory
Abstract : We give some basic concepts on group actions and theorems in invariant theory useful for the contrcution and the study of Landau polynomials. We apply them to the study of the isotropy groups of extrema of Landau polynomials. We explain…
The Symmetry and renormalization group fixed points of quadratic hamiltonians
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…
The Description of the symmetry of physical states and spontaneous symmetry breaking
Lecture given on September 1st, 1980 at the Colloque Pierre Curie sur La Symetrie et les ruptures de sypétrie en phyisque de la matière condensée