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Overview"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)." Full Product DetailsAuthor: Paul UrbanPublisher: Springer Verlag GmbH Imprint: Springer Verlag GmbH Edition: Softcover reprint of the original 1st ed. 1971 Volume: 8/1971 Dimensions: Width: 17.00cm , Height: 2.30cm , Length: 24.40cm Weight: 0.768kg ISBN: 9783709182864ISBN 10: 3709182867 Pages: 424 Publication Date: 25 January 2012 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsTen Years of Schladming; Reflection of the Developments in High Energy Physics.- High Energy Physics and Big Science.- Simple Approach to the Reggeisation of Photoproduction.- Theory and Practice of Complex Regge Poles.- Multi Particle Dual Model.- Non-Local Approach to Weak Interactions.- Renormalizable ”Deception” Theory of Weak Interactions.- A Non-Local Field Theory Approach to Strong Interaction Dynamics.- Automorphism Groups of C*-Algebras, Fell Bundles, W*-Bigebras, and the Description of Internal Symmetries in Algebraic Quantum Theory.- Ultralocal Quantum Field Theory.- Null Plane Field Theory.- Some External Field Problems in Quantum Electrodynamics.- Perturbation Theory for a Class of Nonpolynomial Lagrangian Field Theories.- Electromagnetic Interactions. An Experimental Survey.- Light Cone Expansions and Applications.- Summary—First Week.- Summary—Second Week.- Seminars.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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