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.
Preview
Unable to display preview. Download preview PDF.
References
Bender I., W. Wetzel,B. Berg /1986/ Nuc1.Phys.B269. 389.
Berg B., M. Luscher /1981/ Nucl.Phvs.B190 [FS3], 412.
Bonnier B., M. Hontebeyrie /1989/ Phys.Lett. B226, 361.
Butera P., M. Comi, G. Marchesini /1988/ Nucl. Phys. B300 [FS22], 1.
Drouffe J.M., H. Flyvbjerg /1988/ Phys.Lett. B206, 285.
Fox G., R. Gupta, O. Martin, S. Otto /1982/ Nucl.Phvs.B205 [FS5], 188.
Fukugita M., Y. Oyanagi /1983/ Phys.Lett. 123B, 71.
Heller U. /1988/ Phys.Rev.D38, 3834.
Koibuchi H. /1988/ Z.Phys.C39, 443.
Luscher M., P. Weisz /1988/ Nucl. Phys. B300 [FS22], 325.
Seiler E., L.O. Stamatescu, A. Patrascioiu, V. Linke /1988/ Nucl.Phvs. B305 [FS23], 623.
Shenker S.H., J. Tobochnik /1980/ Phys.Rev.B22, 4462.
Shigemitsu J., J.B. Kogut /1981/ Nucl. Phys. B190 [FS3], 365.
Wolff U. /1989/ Phys. Lett. 222B, 473.
Author information
Authors and Affiliations
Editor information
Rights 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