The finite size spectrum of the 2-dimensional O(3) nonlinear sigma-model

Abstract

Nonlinear integral equations are proposed for the description of the full finite size spectrum of the 2-dimensional O(3) nonlinear sigma-model in a periodic box. Numerical results for the energy eigenvalues are compared to the rotator spectrum and perturbation theory for small volumes and with the recently proposed generalized Luscher formulas at large volumes.

published version, two appendices added

References in corpus (5)

• Four-loop perturbative Konishi from strings and finite size effects for multiparticle states
• Five loop Konishi from AdS/CFT
• Exact finite size spectrum in super sine-Gordon model
• Finite size effects and 2-string deviations in the spin-1 XXZ chains
• Finite volume spectrum of N=1 superminimal models perturbed by ${\Phi }_{13}$

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• Review of AdS/CFT Integrability, Chapter III.5: Luscher corrections
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• An ideal toy model for confining, walking and conformal gauge theories: the O(3) sigma model with theta-term
• Hybrid NLIE for the Mirror AdS_5 x S^5
• From asymptotic freedom to $\theta$ vacua: Qubit embeddings of the O(3) nonlinear $\sigma$ model
• Quantum transfer-matrices for the sausage model
• Drastic Reduction of Cutoff Effects in 2-d Lattice O(N) Models
• Spontaneous symmetry breaking in 2D supersphere sigma models and applications to intersecting loop soups
• Matching effective chiral Lagrangians with dimensional and lattice regularization
• Casimir squared correction to the standard rotator Hamiltonian for the O($n$) sigma-model in the delta-regime
• Study of theta-Vacua in the 2-d O(3) Model