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

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

Research output: Contribution to journalArticle

23 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 latticeregularized theory with the standard action for nearly thermodynamic lattices L/£-7 and correlation lengths f 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 Liischer and Wolff using the standard action, but this time using the fixed point action. Excellent agreement with the Zamolodchikov 5 matrix is found.

Original languageEnglish
Article number094508
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume60
Issue number9
Publication statusPublished - 1999

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form factors
particle energy
phase shift
continuums
momentum
thermodynamics
energy
matrices

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Cite this

Balog, J., Niedermaier, M., Niedermayer, F., Patrascioiu, A., Sciler, 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, 60(9), [094508].

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

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 60, No. 9, 094508, 1999.

Research output: Contribution to journalArticle

Balog, J, Niedermaier, M, Niedermayer, F, Patrascioiu, A, Sciler, 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, 094508.
Balog, J. ; Niedermaier, Max ; Niedermayer, Ferenc ; Patrascioiu, Adrian ; Sciler, 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.
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