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