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

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.

arXiv comment28 pages, 2 eps figures, LaTeX, typo corrected

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• Tests of the continuum limit for the $SO(4)$ Principal Chiral Model and the prediction for $Ł_\MS$

Cited by in corpus (32)

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• Wrapping interactions and a new source of corrections to the spin-chain/string duality
• String hypothesis for the AdS_5 x S^5 mirror
• Finite Volume Spectrum of 2D Field Theories from Hirota Dynamics
• Konishi operator at intermediate coupling
• PSU(2,2|4) Character of Quasiclassical AdS/CFT
• Scaling function in AdS/CFT from the O(6) sigma model
• The puzzle of apparent linear lattice artifacts in the 2d non-linear sigma-model and Symanzik's solution
• Temperature quantization from the TBA equations
• Topological Lattice Actions
• $Ad{S}_5\times S^5$ mirror TBA equations from Y-system and discontinuity relations
• Simulating the All-Order Strong Coupling Expansion III: O(N) sigma/loop models
• Logarithmic corrections to O(a^2) lattice artifacts
• Finite Size Spectrum of SU(N) Principal Chiral Field from Discrete Hirota Dynamics
• Walking near a Conformal Fixed Point: the 2-d O(3) Model at theta near pi as a Test Case
• Non-trivial θ-Vacuum Effects in the 2-d O(3) Model
• From asymptotic freedom to $\theta$ vacua: Qubit embeddings of the O(3) nonlinear $\sigma$ model
• Fusion hierarchies for N = 4 superYang-Mills theory
• TBA equations for the mass gap in the O(2r) non-linear sigma-models
• Qubitization strategies for bosonic field theories
• The finite size spectrum of the 2-dimensional O(3) nonlinear sigma-model
• Winding vacuum energies in a deformed O(4) sigma model
• Nonlinear integral equations for finite volume excited state energies of the O(3) and O(4) nonlinear sigma-models
• Supersymmetric Nonlinear O(3) Sigma Model on the Lattice
• Double-Scaling Limit in Principal Chiral Model: a New Non-Critical String?
• Universality of a truncated sigma-model
• Cutoff Effects in O(N) Nonlinear Sigma Models
• From nesting to dressing
• Strings on type IIB pp-wave backgrounds with interacting massive theories on the worldsheet
• On the rotator Hamiltonian for the SU$(N)\times$SU$(N)$ sigma-model in the delta-regime
• O(3) model with Nienhuis action
• A numerical test of the Y-system in the small size limit of the SU(2)x SU(2) Principal Chiral Model