Concepts in Hadron Physics: Proceedings of the X. Internationale Universitätswochen Für Kernphysik 1971 Der Karl-Franzens-Universität Graz, at Sch

ISBN-13: 9783709182864 / Angielski / Miękka / 2012 / 424 str.

Paul Urban

Opis

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)."

Spis treści

Ten 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.