Advertisement

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

  • Paul Urban
Conference proceedings

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

Table of contents

  1. Front Matter
    Pages N1-XVII
  2. Walter Thirring
    Pages 12-20
  3. F. Zachariasen
    Pages 50-90
  4. I. Drummond
    Pages 91-120
  5. H. Pietschmann
    Pages 121-135
  6. J. R. Klauder
    Pages 227-276
  7. F. Rohrlich
    Pages 277-322
  8. Y. Frishman
    Pages 360-360
  9. H. Pietschmann
    Pages 361-366
  10. F. Rohrlich
    Pages 367-374
  11. C. Alabiso, P. Butera, G. M. Prosperi, N. Arteaga-Romero, L. Castell, G. Cicuta et al.
    Pages 376-424

About these proceedings

Introduction

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).

Keywords

Elementarteilchen Universitätswochen für Kernphysik elementary particle hadron nuclear physics

Editors and affiliations

  • Paul Urban
    • 1
  1. 1.Universität GrazGrazAustria

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-7091-8284-0
  • Copyright Information Springer-Verlag Vienna 1971
  • Publisher Name Springer, Vienna
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-7091-8286-4
  • Online ISBN 978-3-7091-8284-0
  • Series Print ISSN 0177-8811
  • Buy this book on publisher's site