Comparison of the O(3) bootstrap σ model with lattice regularization at low energies

János Balog, Max Niedermaier, Ferenc Niedermayer, Adrian Patrascioiu, Erhard Seiler, Peter Weisz

Research output: Contribution to journalReview article

2 Citations (Scopus)


The renormalized coupling gR defined through the connected four-point function at zero external momentum in the nonlinear O(3) sigma model in two dimensions is computed in the continuum form factor bootstrap approach with an estimated error ∼0.3%. New high precision data are presented for gR in the lattice-regularized theory with the standard action for nearly thermodynamic lattices L/ξ∼7 and correlation lengths ξ up to ∼122 and with the fixed point action for correlation lengths up to ∼12. The agreement between the form factor and lattice results is within ∼1%. We also recompute the phase shifts at low energy by measuring two-particle energies at finite volume, a task which was previously performed by Lüscher and Wolff using the standard action, but this time using the fixed point action. Excellent agreement with the Zamolodchikov S matrix is found.

Original languageEnglish
Pages (from-to)1-11
Number of pages11
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number9
Publication statusPublished - Nov 1 1999


ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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