Excited State Destri - De Vega Equation for Sine-Gordon and Restricted Sine-Gordon Models

Abstract

We derive a generalization of the Destri - De Vega equation governing the scaling functions of some excited states in the Sine-Gordon theory. In particular configurations with an even number of holes and no strings are analyzed and their UV limits found to match some of the conformal dimensions of the corresponding compactified massless free boson. Quantum group reduction allows to interpret some of our results as scaling functions of excited states of Restricted Sine-Gordon theory, i.e. minimal models perturbed by phi_13 in their massive regime. In particular we are able to reconstruct the scaling functions of the off-critical deformations of all the scalar primary states on the diagonal of the Kac-table.

Latex, 12 pages

References in corpus (3)

• Unified Approach to Thermodynamic Bethe Ansatz and Finite Size Corrections for Lattice Models and Field Theories
• Painleve III and 2D Polymers
• Scattering and Thermodynamics of Fractionally-Charged Supersymmetric Solitons

Cited by in corpus (138)

• $T\bar{T}$-deformed 2D Quantum Field Theories
• Integrability for the Full Spectrum of Planar AdS/CFT II
• Thermodynamic Bethe Ansatz for the AdS_5 x S^5 Mirror Model
• The ODE/IM Correspondence
• Four-loop perturbative Konishi from strings and finite size effects for multiparticle states
• Exact AdS/CFT spectrum: Konishi dimension at any coupling
• Thermodynamic Bethe Ansatz for planar AdS/CFT: a proposal
• Wrapping interactions at strong coupling -- the giant magnon
• Non linear integral equation and excited--states scaling functions in the sine-Gordon model
• Extended Y-system for the $Ad{S}_5/CF{T}_4$ correspondence
• 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
• On the relation between Stokes multipliers and the T-Q systems of conformal field theory
• Excited states in some simple perturbed conformal field theories
• Solving the AdS/CFT Y-system
• Conserved currents and $\text{T}{\bar{\text{T}}}_s$ irrelevant deformations of 2D integrable field theories
• Finite Volume Spectrum of 2D Field Theories from Hirota Dynamics
• TBA and Y-system for planar $Ad{S}_4/CF{T}_3$
• Continued fraction TBA and functional relations in XXZ model at root of unity
• How Accurate is the Quantum String Bethe Ansatz?
• Exploring the mirror TBA
• Y-system and Quasi-Classical Strings
• Integrability of the AdS_5 x S^5 superstring and its deformations
• Y-system, TBA and Quasi-Classical Strings in AdS4 x CP3
• The Quantum Deformed Mirror TBA I
• Konishi operator at intermediate coupling
• Differential equations for general SU(n) Bethe ansatz systems
• Scaling Functions in the Odd Charge Sector of Sine-Gordon/Massive Thirring Theory
• PSU(2,2|4) Character of Quasiclassical AdS/CFT
• Reconstruction of Baxter Q-operator from Sklyanin SOV for cyclic representations of integrable quantum models
• Differential equations and integrable models: the SU(3) case
• Large spin corrections in $\mathcal{N}=4$ SYM sl(2): still a linear integral equation
• Introduction to the thermodynamic Bethe ansatz
• The Quantum Deformed Mirror TBA II
• On the Dressing Factors, Bethe Equations and Yangian Symmetry of Strings on AdS3 x S3 x T4
• Temperature quantization from the TBA equations
• Y-system and beta-deformed N=4 Super-Yang-Mills
• The k-folded sine-Gordon model in finite volume
• Completeness of Bethe Ansatz by Sklyanin SOV for Cyclic Representations of Integrable Quantum Models
• $Ad{S}_5\times S^5$ mirror TBA equations from Y-system and discontinuity relations
• Yangians, S-matrices and AdS/CFT
• Asymptotic Bethe Ansatz on the GKP vacuum as a defect spin chain: scattering, particles and minimal area Wilson loops
• Strong coupling for planar $\mathcal{N}=4$ SYM theory: an all-order result
• Beyond the WKB approximation in PT-symmetric quantum mechanics
• Thermodynamic Bethe Ansatz for Fishnet CFT
• SUSY sine-Gordon theory as a perturbed conformal field theory and finite size effects
• Review of AdS/CFT Integrability, Chapter III.7: Hirota Dynamics for Quantum Integrability
• Non-Linear Integral Equations for complex Affine Toda associated to simply laced Lie algebras
• The Sine-Gordon model revisited I
• Beyond cusp anomalous dimension from integrability
• On the finite size corrections of anti-ferromagnetic anomalous dimensions in $\mathcal{N}=4$ SYM
• New families of flows between two-dimensional conformal field theories
• Finite size effects in the XXZ and sine-Gordon models with two boundaries
• Hubbard's Adventures in $\mathcal{N}=4$ SYM-land? Some non-perturbative considerations on finite length operators
• Nonlinear Integral Equation and Finite Volume Spectrum of Minimal Models Perturbed by ${\Phi }_{(1,3)}$
• Hybrid-NLIE for the AdS/CFT spectral problem
• Finite Size Spectrum of SU(N) Principal Chiral Field from Discrete Hirota Dynamics
• The generalised scaling function: a note
• Review of AdS/CFT Integrability, Chapter III.5: Luscher corrections
• Semiclassical Scaling Functions of Sine--Gordon Model
• Non-unitarity in quantum affine Toda theory and perturbed conformal field theory
• Exact finite size spectrum in super sine-Gordon model
• On the scattering over the GKP vacuum
• Finite size corrections for open strings/open chains in planar AdS/CFT
• Finite size effects and the supersymmetric sine-Gordon models
• On wrapping corrections to GKP-like operators
• Excited states NLIE for sine-Gordon model in a strip with Dirichlet boundary conditions
• Exact conserved quantities on the cylinder I: conformal case
• The generalised scaling function: a systematic study
• NLIE for hole excited states in the sine-Gordon model with two boundaries
• A braided Yang-Baxter Algebra in a Theory of two coupled Lattice Quantum KdV: algebraic properties and ABA representations
• Hybrid NLIE for the Mirror AdS_5 x S^5
• Excited TBA Equations I: Massive Tricritical Ising Model
• Finite Density States in Integrable Conformal Field Theories
• On the commuting charges for the highest dimension SU(2) operators in planar $\mathcal{N}=4$ SYM
• A next-to-leading Luescher formula
• Excited states nonlinear integral equations for an integrable anisotropic spin 1 chain
• TBA equations for excited states in the Sine-Gordon model
• The finite size spectrum of the 2-dimensional O(3) nonlinear sigma-model
• From finite geometry exact quantities to (elliptic) scattering amplitudes for spin chains: the 1/2-XYZ
• Finite size effects in the spin-1 XXZ and supersymmetric sine-Gordon models with Dirichlet boundary conditions
• Structure constants of short operators in planar $\mathcal{N}=4$ SYM theory
• The tau_2-model and the chiral Potts model revisited: completeness of Bethe equations from Sklyanin's SOV method
• Sine-Gordon Model - Renormalization Group Solutions and Applications
• Confinement and Mayer cluster expansions
• Integrable aspects of the scaling q-state Potts models II: finite-size effects
• Finite-Volume Spectra of the Lee-Yang Model
• Finite size effects in the SS-model: two component nonlinear integral equations
• On the $Ad{S}_5/CF{T}_4$ TBA and its analytic properties
• Y-system for Z_S Orbifolds of N=4 SYM
• Finite ${\epsilon }_2$-corrections to the $\mathcal{N}=2$ SYM prepotential
• On the high spin expansion in the $sl(2)$ $\mathcal{N}=4$ SYM theory
• Exact conserved quantities on the cylinder II: off-critical case
• Massless flows between minimal W models
• On the origin of the correspondence between classical and quantum integrable theories
• Deforming the ODE/IM correspondence with $\mathrm{T}\bar{\mathrm{T}}$
• Nonlinear integral equations for the finite size effects of RSOS and vertex-models and related quantum field theories
• On the logarithmic powers of $sl(2)$ SYM${}_4$
• RSOS revisited
• $QQ$-system and non-linear integral equations for scattering amplitudes at strong coupling
• Scattering of Giant Holes
• Mayer expansion of the Nekrasov pre potential: the subleading ${\epsilon }_2$-order
• On solutions of the Bethe Ansatz for the Quantum KdV model
• On the Integrable Structure of the Ising Model
• TBA-like equations and Casimir effect in (non-)perturbative AdS/CFT
• Exact finite volume expectation values of $\bar{\Psi }\Psi$ in the Massive Thirring model from light-cone lattice correlators
• Thermodynamic Bethe Ansatz for the subleading magnetic perturbation of the tricritical Ising model
• Excited State TBA for the ${\varphi }_{2,1}$ perturbed $M_{3,5}$ model
• Excited states in the twisted XXZ spin chain
• The elliptic scattering theory of the 1/2-XYZ and higher order Deformed Virasoro Algebras
• A study of integrable form factors in massless relativistic AdS_3
• Lattice approach to finite volume form-factors of the Massive Thirring/Sine-Gordon model
• The virtual scaling function of twist operators in the N=6 Chern-Simons theory
• Universal finite-size gap scaling of the quantum Ising chain
• Quantum integrability of $\mathcal{N}=2$ 4d gauge theories
• Finite size effects and 2-string deviations in the spin-1 XXZ chains
• Minimal Models RG flows: non-invertible symmetries & non-perturbative description
• NLIE of Dirichlet sine-Gordon Model for Boundary Bound States
• Seiberg-Witten period relations in Omega background
• Contour deformation trick in hybrid NLIE
• Exact results for the low energy AdS(4)XCP(3) string theory
• Generalised scaling at subleading order
• Boundary effects on the supersymmetric sine-Gordon model through light-cone lattice approach
• Properties of the massive Thirring model from the XYZ spin chain
• Lee-Yang Model in Presence of Defects
• Finite volume form factors in integrable theories
• Semiclassical Methods in 2D QFT: Spectra and Finite-Size Effects
• The QCD spin chain S matrix
• Finite volume spectrum of N=1 superminimal models perturbed by ${\Phi }_{13}$
• Boundary S matrix of an open XXZ spin chain with nondiagonal boundary terms
• A note on the IR limit of the NLIEs of boundary supersymmetric sine-Gordon model
• A numerical test of the Y-system in the small size limit of the SU(2)x SU(2) Principal Chiral Model
• On the NLIE of (inhomogeneous) open spin-1 XXZ chain with general integrable boundary terms
• NLIE and finite size effects of the spin-1/2 XXZ and sine-Gordon models with two boundaries revisited
• Quantum integrable systems. Quantitative methods in biology
• Norm of Bethe-wave functions in the continuum limit
• On the ground-state energy of the finite sine-Gordon ring
• On the critical boundary RSOS \mathcal{M}(3,5) model