TBA equations for excited states in the O(3) and O(4) nonlinear $\sigma$-model

J. Balog; A. Hegedus

doi:10.1088/0305-4470/37/5/027

TBA equations for excited states in the O(3) and O(4) nonlinear $\sigma$-model

High Energy Physics - Theory 2008-11-26 v2 High Energy Physics - Lattice

Authors: J. Balog , A. Hegedus

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Abstract

TBA integral equations are proposed for 1-particle states in the sausage- and SS-models and their $\sigma$ -model limits. Combined with the ground state TBA equations the exact mass gap is computed in the O(3) and O(4) nonlinear $\sigma$ -model and the results are compared to 3-loop perturbation theory and Monte Carlo data.

Keywords

TBA equations excited states nonlinear sigma model mass gap integrability

Cite

@article{arxiv.hep-th/0309009,
  title  = {TBA equations for excited states in the O(3) and O(4) nonlinear $\sigma$-model},
  author = {J. Balog and A. Hegedus},
  journal= {arXiv preprint arXiv:hep-th/0309009},
  year   = {2008}
}

Comments

28 pages, 2 eps figures, LaTeX, typo corrected

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