Nonlinear integral equations for finite volume excited-state energies of the O(3) and O(4) nonlinear σ-models

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Abstract

We propose nonlinear integral equations for the finite volume one-particle energies in the O(3) and O(4) nonlinear σ-models. The equations are written in terms of a finite number of components and are therefore easier to solve numerically than the infinite component excited-state TBA equations proposed earlier. Results of numerical calculations based on the nonlinear integral equations and the excited-state TBA equations agree within numerical precision.

Original languageEnglish
Pages (from-to)5345-5357
Number of pages13
JournalJournal of Physics A: Mathematical and General
Volume38
Issue number23
DOIs
Publication statusPublished - Jun 10 2005

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

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