Skip to main content

On the scaling behavior of the O(N) σ-model

  • Chapter
  • First Online:
Rigorous Methods in Particle Physics

Part of the book series: Springer Tracts in Modern Physics ((STMP,volume 119))

  • 102 Accesses

Abstract

The magnetic susceptibility and the correlation length of the 0(N) non-linear two-dimensional σ-model are constructed from their high temperature expansions at 14th order and asymptotic scaling. For N = 3 and N = 4, this determination is compared with Monte-Carlo data and used to predict the onset of scaling at finite coupling.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

Download references

Author information

Authors and Affiliations

Authors

Editor information

Sorin Ciulli Florian Scheck Walter Thirring

Rights and permissions

Reprints and permissions

Copyright information

© 1990 Springer-Verlag

About this chapter

Cite this chapter

Bonnier, B., Hontebeyrie, M. (1990). On the scaling behavior of the O(N) σ-model. In: Ciulli, S., Scheck, F., Thirring, W. (eds) Rigorous Methods in Particle Physics. Springer Tracts in Modern Physics, vol 119. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0117562

Download citation

  • DOI: https://doi.org/10.1007/BFb0117562

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52902-6

  • Online ISBN: 978-3-540-47176-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics