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

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 relativi...

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Bibliographic Details
Other Authors: Urban, Paul (Editor)
Format: eBook
Language:English
Published: Vienna Springer Vienna 1971, 1971
Edition:1st ed. 1971
Series:Few-Body Systems, Supplementa
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
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245 0 0 |a Concepts in Hadron Physics  |h Elektronische Ressource  |b Proceedings of the X. Internationale Universitätswochen für Kernphysik 1971 der Karl-Franzens-Universität Graz, at Schladming (Steiermark, Austria), 1st March – 13th March 1971  |c edited by Paul Urban 
250 |a 1st ed. 1971 
260 |a Vienna  |b Springer Vienna  |c 1971, 1971 
300 |a XVII, 424 p  |b online resource 
505 0 |a 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 
653 |a Industrial Management 
653 |a Quantum field theory 
653 |a Elementary particles (Physics) 
653 |a Elementary Particles, Quantum Field Theory 
041 0 7 |a eng  |2 ISO 639-2 
989 |b SBA  |a Springer Book Archives -2004 
490 0 |a Few-Body Systems, Supplementa 
028 5 0 |a 10.1007/978-3-7091-8284-0 
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520 |a 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)