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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

  • Conference proceedings
  • © 1971

Overview

Part of the book series: Few-Body Systems (FEWBODY, volume 8/1971)

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Table of contents (18 papers)

Keywords

About this book

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).

Editors and Affiliations

  • Universität Graz, Graz, Austria

    Paul Urban

Bibliographic Information

  • Book Title: Concepts in Hadron Physics

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

  • Editors: Paul Urban

  • Series Title: Few-Body Systems

  • DOI: https://doi.org/10.1007/978-3-7091-8284-0

  • Publisher: Springer Vienna

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag / Wien 1971

  • Softcover ISBN: 978-3-7091-8286-4Published: 25 January 2012

  • eBook ISBN: 978-3-7091-8284-0Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: XVII, 424

  • Topics: Elementary Particles, Quantum Field Theory, Engineering Economics, Organization, Logistics, Marketing

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