Finite size effects in the SS-model: two component nonlinear integral equations

Abstract

We derive a finite set of nonlinear integral equations for describing the finite size dependence of the ground state energy of the O(4) nonlinear sigma model. By modifying the kernel functions of these equations we propose nonlinear integral equations for the finite size effects in the SS-model. The equations are formulated in terms of two complex valued unknown functions and they are valid for arbitrary real values of the couplings.

References in corpus (14)

• Unified Approach to Thermodynamic Bethe Ansatz and Finite Size Corrections for Lattice Models and Field Theories
• Excited State Destri - De Vega Equation for Sine-Gordon and Restricted Sine-Gordon Models
• Non linear integral equation and excited--states scaling functions in the sine-Gordon model
• Scattering and Thermodynamics of Fractionally-Charged Supersymmetric Solitons
• Nonlinear Integral Equation and Finite Volume Spectrum of Sine-Gordon Theory
• Truncated Conformal Space at c=1, Nonlinear Integral Equation and Quantization Rules for Multi-Soliton States
• Spinons in Magnetic Chains of Arbitrary Spins at Finite Temperatures
• Continued fraction TBA and functional relations in XXZ model at root of unity
• Scaling Functions in the Odd Charge Sector of Sine-Gordon/Massive Thirring Theory
• Sigma models as perturbed conformal field theories
• S-matrix of N=2 Supersymmetric Sine-Gordon Theory
• Nonlinear Integral Equation and Finite Volume Spectrum of Minimal Models Perturbed by ${\Phi }_{(1,3)}$
• Finite size effects and the supersymmetric sine-Gordon models
• Virial expansion and TBA in O(N) sigma models

Cited by in corpus (13)

• $Ad{S}_5\times S^5$ mirror TBA equations from Y-system and discontinuity relations
• Hybrid-NLIE for the AdS/CFT spectral problem
• Hybrid NLIE for the Mirror AdS_5 x S^5
• Excited states nonlinear integral equations for an integrable anisotropic spin 1 chain
• 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
• Nonlinear integral equations for the finite size effects of RSOS and vertex-models and related quantum field theories
• Quasi-local formulation of the mirror TBA
• Scattering and duality in the 2 dimensional OSP(2|2) Gross Neveu and sigma models
• Finite size effects and 2-string deviations in the spin-1 XXZ chains
• Contour deformation trick in hybrid NLIE
• Form factors in the SS model and its RSOS restrictions