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Anotace knihy

Soluble quantum field theory models are a rare commodity. An infinite number of degrees of freedom and noncompact invariance groups have a nasty habit of ex ploding in the model-makers' face. Nevertheless, impor tant progress has recently been made in the class of superrenormalizable relativistic theories, such as a self-interacting boson in a two-dimensional space time [ 1]. These results have been obtained starting with the free field and adding the interaction in a carefully controlled way. Yet, the models successfully studied in this way do DQ~ have an infinite field strength renormalization, which, at least according to perturbation theory, should appear for realistic relativistic models in four-dimensional space time. ~2~!Y~~!9n_~g_~h~_~gg~1 The ultralocal scalar field theories discussed in these lecture notes are likewise motivated by relativistic theories but are based on a different approximatiGn. This approximation formally amounts to dropping the spatial gradient term from the Hamiltonian rather than the non linear interaction. For a self-interacting boson field in a space-time of (s+l) dimensions (s~l), the classical ultralocal model Hamiltonian reads (1-1) The quantum theory of this model is the subject of the present paper. This model differs formally from a rela tivistic theory by the term f![Z~Cl(~)]2 d~ which, it is hoped, can, in one or another way, be added as a pertur 229 bation in the quantum theory. However, that still remains a problem for the future, and we confine our remarks to . . a careful study of the "unperturbed" model (1-1).

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Physics Nuclear physics

• Plný název: Concepts in Hadron Physics
• Podnázev: Proceedings of the X. Internationale Universitatswochen fur Kernphysik 1971 der Karl-Franzens-Universitat Graz, at Schladming (Steiermark, Austria), 1st March - 13th March 1971
• Autor: Paul Urban
• Jazyk: Angličtina
• Vazba: Brožovaná
• Počet stran: 424
• EAN: 9783709182864
• ISBN: 3709182867
• ID: 02119003
• Nakladatelství: Springer Verlag GmbH
• Hmotnost: 768 g
• Rozměry: 244 × 170 × 25 mm
• Datum vydání: 25. January 2012

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