Concepts in Hadron Physics: Proceedings of the X. Internationale Universitätswochen für Kernphysik 1971 der Karl-Franzens-Universität Graz, at Schladming (Steiermark, Austria), 1st March – 13th March 1971

Paul Urban (Curatore)

Springer Verlag GmbH, 2012

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).

• Curatore: Paul Urban
• Editore: Springer Verlag GmbH
• Collana: Few-Body Systems
• Anno: 2012
• Rilegatura: Paperback / softback
• Pagine: 424 p.
• Dimensioni: 244 x 170 mm
• EAN: 9783709182864

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