Extremal invariant states
INVARIANTS
C*-ALGEBRES
SYMETRIE
Abstract : A number of results are derived which are pertinent to the description of physical systems by states on C*-algebras invariants under a symmetry group. In particular an integral decomposition relevant to the study of lower symmetry is obtained which is occur in equilibrium statistical mechanics as existence of crystals, ferromagnetic states, etc... A characterization is given of strongly clustering euclidean invariant states, and it is shown that they cannot be decomposed into states of lower symmetry.
RUELLE
ROBINSON
P/66/01
IHES
1966
A4
11 f.
EN
TEXTE
PREPUBLICATION
P_66_01.pdf
1966
Properties of the breaking of hadronic internal symmetry
SYMETRIE BRISEE
MATHEMATIQUES
HADRONS
Abstract : The directions of breaking of the hadronic internal symmetry by the electromagnetic, semileptonic—and nonleptonic—weak and CP violating interactions are characterized by remarkable mathematical properties. These directions correspond to idempotents or nilpotents of an algebra and they are critical, i.e., every invariant function for the symmetry group, e.g., (SU(3) × SU(3)) × (1, P, C, PC) has an extremum on these directions.
MICHEL
RADICATI
P/70/05
IHES
11/1970
A4
18 f.
EN
TEXTE
PREPUBLICATION
P_70_05.pdf
1970
Simple mathematical models of symmetry breaking. Application to particle physics. Conference given on March 26, 1974 at the Warsaw Symposium in Mathematical Physics
SYMETRIE BRISEE
CONGRES ET CONFERENCES
MODELES MATHEMATIQUES
PHYSIQUE NUCLEAIRE
PARTICULES
MICHEL
P/74/16
IHES
1974
A4
17 f.
EN
TEXTE
PREPUBLICATION
P_74_16.pdf
1974