Does the XY model have an integrable continuum limit?

J. Balog, M. Niedermaier, F. Niedermayer, A. Patrascioiu, E. Seiler, P. Weisz

Research output: Contribution to journalArticle

28 Citations (Scopus)

Abstract

The quantum field theory describing the massive O(2) non-linear sigma-model is investigated through two non-perturbative constructions: the form factor bootstrap based on integrability and the lattice formulation as the XY model. The S-matrix, the spin and current two-point functions, as well as the 4-point coupling are computed and critically compared in both constructions. On the bootstrap side a new parafermionic super selection sector is found; in the lattice theory a recent prediction for the (logarithmic) decay of lattice artifacts is probed.

Original languageEnglish
Pages (from-to)315-370
Number of pages56
JournalNuclear Physics B
Volume618
Issue number3
DOIs
Publication statusPublished - Dec 17 2001

Fingerprint

continuums
form factors
artifacts
sectors
formulations
decay
matrices
predictions

Keywords

  • 11.15.Ha
  • 11.25.Bt
  • 75.10.Hk

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Balog, J., Niedermaier, M., Niedermayer, F., Patrascioiu, A., Seiler, E., & Weisz, P. (2001). Does the XY model have an integrable continuum limit? Nuclear Physics B, 618(3), 315-370. https://doi.org/10.1016/S0550-3213(01)00487-4

Does the XY model have an integrable continuum limit? / Balog, J.; Niedermaier, M.; Niedermayer, F.; Patrascioiu, A.; Seiler, E.; Weisz, P.

In: Nuclear Physics B, Vol. 618, No. 3, 17.12.2001, p. 315-370.

Research output: Contribution to journalArticle

Balog, J, Niedermaier, M, Niedermayer, F, Patrascioiu, A, Seiler, E & Weisz, P 2001, 'Does the XY model have an integrable continuum limit?', Nuclear Physics B, vol. 618, no. 3, pp. 315-370. https://doi.org/10.1016/S0550-3213(01)00487-4
Balog J, Niedermaier M, Niedermayer F, Patrascioiu A, Seiler E, Weisz P. Does the XY model have an integrable continuum limit? Nuclear Physics B. 2001 Dec 17;618(3):315-370. https://doi.org/10.1016/S0550-3213(01)00487-4
Balog, J. ; Niedermaier, M. ; Niedermayer, F. ; Patrascioiu, A. ; Seiler, E. ; Weisz, P. / Does the XY model have an integrable continuum limit?. In: Nuclear Physics B. 2001 ; Vol. 618, No. 3. pp. 315-370.
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