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)


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
Issue number3
Publication statusPublished - Dec 17 2001


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

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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    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.