Happy holidays from us to you—get up to $30 off your next print or eBook! Shop now >>

Mathematics and Its Applications

Conformal Quantum Field Theory in D-dimensions

Authors: Fradkin, E.S., Palchik, Mark Ya.

Buy this book

eBook $119.00
price for USA in USD (gross)
  • ISBN 978-94-015-8757-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.99
price for USA in USD
  • ISBN 978-0-7923-4158-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $159.99
price for USA in USD
  • ISBN 978-90-481-4732-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.

Table of contents (10 chapters)

  • Goals and Perspectives

    Fradkin, Efim S. (et al.)

    Pages 3-43

  • Global Conformal Symmetry and Hilbert Space

    Fradkin, Efim S. (et al.)

    Pages 45-97

  • Euclidean Formulation of the Conformal Theory

    Fradkin, Efim S. (et al.)

    Pages 99-142

  • Approximate Methods of Calculating Critical Indices

    Fradkin, Efim S. (et al.)

    Pages 143-162

  • Spontaneous Breakdown of Conformal Symmetry

    Fradkin, Efim S. (et al.)

    Pages 163-169

Buy this book

eBook $119.00
price for USA in USD (gross)
  • ISBN 978-94-015-8757-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.99
price for USA in USD
  • ISBN 978-0-7923-4158-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $159.99
price for USA in USD
  • ISBN 978-90-481-4732-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Conformal Quantum Field Theory in D-dimensions
Authors
Series Title
Mathematics and Its Applications
Series Volume
376
Copyright
1996
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-94-015-8757-0
DOI
10.1007/978-94-015-8757-0
Hardcover ISBN
978-0-7923-4158-1
Softcover ISBN
978-90-481-4732-8
Edition Number
1
Number of Pages
XII, 466
Topics