Concepts in Hadron Physics - Proceedings of the X. Internationale Universitatswochen fur Kernphysik 1971 der Karl-Franzens-Universitat Graz, at Schladming (Steiermark, Austria), 1st March - 13th March 1971 (Paperback, Softcover reprint of the original 1st ed. 1971)

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).

General

Imprint:	Springer-Verlag
Country of origin:	Austria
Series:	Few-Body Systems, 8/1971
Release date:	2012
First published:	1971
Editors:	Paul Urban
Dimensions:	244 x 170 x 23mm (L x W x T)
Format:	Paperback
Pages:	424
Edition:	Softcover reprint of the original 1st ed. 1971
ISBN-13:	978-3-7091-8286-4
Categories:	Books > Science & Mathematics > Physics > Nuclear structure physics Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics) > General
LSN:	3-7091-8286-7
Barcode:	9783709182864

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