Scaling algebras in local relativistic quantum physics
Documenta mathematica, ICM Berlin 1998, Vol. III (1998), pp. 109-112.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

The novel method of scaling algebras allows one to compute and classify the short distance (scaling) limit of any local relativistic $C^*$-dynamical system and to determine its symmetry structure. The approach is based on an adaptation of ideas from renormalization group theory to the $C^*$-algebraic setting [cf. D. Buchholz and R. Verch, Rev. Math. Phys. 7, No. 8, 1195-1239 (1995; Zbl 0842.46052); D. Buchholz, Ann. Inst. Henri Poincaré, Phys. Théor. 64, No. 4, 433-459 (1996; Zbl 0857.46055)].
Classification : 46L60, 81T05, 46N50, 81T17
Keywords: local relativistic $C^*$-dynamical systems, scaling algebras, symmetry structure, renormalization group theory
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Buchholz, Detlev. Scaling algebras in local relativistic quantum physics. Documenta mathematica, ICM Berlin 1998, Vol. III (1998), pp. 109-112. http://geodesic.mathdoc.fr/item/DOCMA_1998__S9__a67/