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

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

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

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
Volume60
Issue number9
Publication statusPublished - Nov 1 1999

Fingerprint

Bootstrap
Regularization
form factors
Form Factors
Correlation Length
Energy
Fixed point
particle energy
Lattice Theory
energy
Sigma Models
phase shift
Phase Shift
Finite Volume
Model
continuums
momentum
thermodynamics
Two Dimensions
Thermodynamics

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics

Cite this

Comparison of the O(3) bootstrap σ model with lattice regularization at low energies. / Balog, J.; Niedermaier, Max; Niedermayer, Ferenc; Patrascioiu, Adrian; Seiler, Erhard; Weisz, Peter.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 60, No. 9, 01.11.1999, p. 1-11.

Research output: Contribution to journalArticle

Balog, J, Niedermaier, M, Niedermayer, F, Patrascioiu, A, Seiler, E & Weisz, P 1999, 'Comparison of the O(3) bootstrap σ model with lattice regularization at low energies', Physical Review D - Particles, Fields, Gravitation and Cosmology, vol. 60, no. 9, pp. 1-11.
Balog, J. ; Niedermaier, Max ; Niedermayer, Ferenc ; Patrascioiu, Adrian ; Seiler, Erhard ; Weisz, Peter. / Comparison of the O(3) bootstrap σ model with lattice regularization at low energies. In: Physical Review D - Particles, Fields, Gravitation and Cosmology. 1999 ; Vol. 60, No. 9. pp. 1-11.
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