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Conformal Quantum Field Theory in D-dimensions

  • Efim S. Fradkin
  • Mark Ya. Palchik

Part of the Mathematics and Its Applications book series (MAIA, volume 376)

Table of contents

  1. Front Matter
    Pages i-2
  2. Efim S. Fradkin, Mark Ya. Palchik
    Pages 3-43
  3. Efim S. Fradkin, Mark Ya. Palchik
    Pages 45-97
  4. Efim S. Fradkin, Mark Ya. Palchik
    Pages 99-142
  5. Efim S. Fradkin, Mark Ya. Palchik
    Pages 143-162
  6. Efim S. Fradkin, Mark Ya. Palchik
    Pages 163-169
  7. Efim S. Fradkin, Mark Ya. Palchik
    Pages 171-204
  8. Efim S. Fradkin, Mark Ya. Palchik
    Pages 241-316
  9. Efim S. Fradkin, Mark Ya. Palchik
    Pages 317-346
  10. Back Matter
    Pages 373-465

About this book

Introduction

Our prime concern in this book is to discuss some most interesting prosppcts that have occurred recently in conformally invariant quantum field theory in a D-diuwnsional space. One of the most promising trends is constructing an pxact solution for a cprtain class of models. This task seems to be quite feasible in the light of recent resllits. The situation here is to some extent similar to what was going on in the past ypars with the two-dimensional quantum field theory. Our investigation of conformal Ward identities in a D-dimensional space, carried out as far hack as the late H. J7Gs, showed that in the D-dimensional quantum field theory, irrespective of the type of interartion, there exists a special set of states of the field with the following property: if we rpqllire that one of these states should vanish, this determines an exact solution of 3. certain field model. These states are analogous to null-vectors which determine the minimal models in the two-dimensional field theory. On the other hand, the recent resparches supplied us with a number of indications on the existencp of an intinite-parampter algebra analogous to the Virasoro algebra in spaces of higher dimensions D 2: :~. It has also been shown that this algebra admits an operator rentral expansion. It seems to us that the above-mentioned models are field theoretical realizations of the representations of these new symmetries for D 2: ;3.

Keywords

Minkowski space Minkowski spacetime algebra differential equation field field theory gauge theories gravity quantum field quantum field theory transformation

Authors and affiliations

  • Efim S. Fradkin
    • 1
  • Mark Ya. Palchik
    • 2
  1. 1.Nuclear Physics SectionRussian Academy of Sciences; and P.N. Lebedev Physical InstituteMoscowRussia
  2. 2.Institute of Automation and ElectrometryNovosibirskRussia

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-015-8757-0
  • Copyright Information Springer Science+Business Media Dordrecht 1996
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-4732-8
  • Online ISBN 978-94-015-8757-0
  • Buy this book on publisher's site