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

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

2003-08-31

arxiv.org/abs/hep-th/0309009v2

J.Phys.A37:1881-1901,2004

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, 2 eps figures, LaTeX, typo corrected

Scientific paper

10.1088/0305-4470/37/5/027

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.

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