Free Field Representation For Massive Integrable Models

Abstract

A new approach to massive integrable models is considered. It allows one to find symmetry algebras which define spaces of local operators and to get general integral representations for form-factors in the\ $SU(2)$\ Thirring and Sine-Gordon models.

49 pages, RU-93-30

References in corpus (6)

• Correlation Functions of the XXZ model for $\Delta <-1$
• Diagonalization of the XXZ Hamiltonian by Vertex Operators
• Difference equations for the correlation functions of the eight vertex model
• Deformation of the Wakimoto construction
• Free Field Representation for the Classical Limit of Quantum Affine Algebra
• Corner Transfer Matrices and Quantum Affine Algebras

Cited by in corpus (105)

• Foundations of the AdS_5 x S^5 Superstring. Part I
• Exact expectation values of local fields in quantum sine-Gordon model
• Quantum Quench in the Transverse Field Ising chain I: Time evolution of order parameter correlators
• Form factors of branch-point twist fields in quantum integrable models and entanglement entropy
• QKZ equation with |q|=1 and correlation functions of the XXZ model in the gapless regime
• The Zamolodchikov-Faddeev Algebra for AdS_5 x S^5 Superstring
• Non-integrable Quantum Field Theories as Perturbations of Certain Integrable Models
• Quantum W-algebras and Elliptic Algebras
• Linear response theory for a pair of coupled one-dimensional condensates of interacting atoms
• Quantum quench in the sine-Gordon model
• Form-factors of exponential fields in the sine-Gordon model
• Dynamics in the Ising field theory after a quantum quench
• Multi-point Local Height Probabilities in the Integrable RSOS Model
• Excitons in one-dimensional Mott insulators
• Spectroscopy of Collective Excitations in Interacting Low-Dimensional Many-Body Systems Using Quench Dynamics
• Exact form factors in integrable quantum field theories: the sine-Gordon model (II)
• Geometry of q-Hypergeometric Functions as a Bridge between Yangians and Quantum Affine Algebras
• Quench dynamics near a quantum critical point: application to the sine-Gordon model
• Form factors of soliton-creating operators in the sine-Gordon model
• Dynamical Magnetic Susceptibilities in Cu Benzoate
• Finite Temperature Dynamical Correlations in Massive Integrable Quantum Field Theories
• Angular quantization and form-factors in massive integrable models
• Branch Point Twist Field Form Factors in the sine-Gordon Model II: Composite Twist Fields and Symmetry Resolved Entanglement
• Bi-partite entanglement entropy in massive 1+1-dimensional quantum field theories
• Bosonization of vertex operators for the $A^{(1)_{n-1}$ face model
• Quantum criticalities in a two-leg antiferromagnetic S=1/2 ladder induced by a staggered magnetic field
• Free Field Construction for Correlation Functions of the Eight-Vertex Model
• A note on the deformed Virasoro algebra
• Bi-partite entanglement entropy in integrable models with backscattering
• Sine-Gordon form factors in finite volume
• Finite temperature and quench dynamics in the Transverse Field Ising Model from form factor expansions
• Form-factors of exponential fields in the affine A^{(1)}_{N-1} Toda model
• On the 3-particle scattering continuum in quasi one dimensional integer spin Heisenberg magnets
• Quantum quench in the attractive regime of the sine-Gordon model
• Arguments towards a c-theorem from branch-point twist fields
• Lukyanov's Screening Operators for the Deformed Virasoro Algebra
• Free Field Construction for the ABF Models in Regime II
• A note on the algebraic engineering of 4D $\mathcal{N}=2$ super Yang-Mills theories
• Diagonal multi-soliton matrix elements in finite volume
• Comments on World-Sheet Form Factors in AdS/CFT
• The Barnes zeta-function, sphere determinants and Glaisher- Kinkelin-Bendersky constants
• $U_q({\widehat{sl}}_n)$-analog of the XXZ chain with a boundary
• Sine-Gordon multi-soliton form factors in finite volume
• Finite temperature correlation function for one-dimensional Quantum Ising model: the virial expansion
• Exact form factors of the O(N) $\sigma$-model
• Conical Twist Fields and Null Polygonal Wilson Loops
• On scaling fields in $Z_N$ Ising models
• Dynamical density correlation function of 1D Mott insulators in a magnetic field
• Higher particle form factors of branch point twist fields in integrable quantum field theories
• Expectation values of twist fields and universal entanglement saturation of the free massive boson
• Boundary effects on the local density of states of one-dimensional Mott insulators and charge density wave states
• Finite temperature one-point functions in non-diagonal integrable field theories: the sine-Gordon model
• Dynamical Correlations of the Spin-1/2 Heisenberg XXZ Chain in a Staggered Field
• One-electron singular spectral features of the 1D Hubbard model at finite magnetic field
• Form factors of exponential fields for two-parametric family of integrable models
• Branch Point Twist Field Form Factors in the sine-Gordon Model I: Breather Fusion and Entanglement Dynamics
• Correlation functions of disorder fields and parafermionic currents in Z(N) Ising models
• Effective Quantum Field Theory for the Thermodynamical Bethe Ansatz
• Dynamical response functions in the quantum Ising chain with a boundary
• Correlation Functions of the SU(infinity) Principal Chiral Model
• Form factors of descendant operators: Free field construction and reflection relations
• An Algebraic Approach to Form Factors
• Constructive proposals for QFT based on the crossing property and on lightfront holography {Dedicated to Jacques Bros on the occasion of his 70th birthday}
• Particle-Field Duality and Form Factors from Vertex Operators
• Form factors in sinh- and sine-Gordon models, deformed Virasoro algebra, Macdonald polynomials and resonance identities
• Bethe Ansatz and exact form factors of the O(N) Gross Neveu-model
• Form Factors, Thermal States and Modular Structures
• Fermion Schwinger's function for the SU(2)-Thirring model
• The massless XXZ chain with a boundary
• Intertwining Operators for the Central Extension of the Yangian Double
• Form factors of descendant operators: $A_{L-1}^{(1)}$ affine Toda theory
• Form-factors of the sausage model obtained with bootstrap fusion from sine-Gordon theory
• Perturbation Theory in Angular Quantization Approach and the Expectation Values of Exponential Fields in Sin-Gordon Model
• The 19-Vertex Model at critical regime $|q|=1$
• Formfactors in the half-filled Hubbard model
• Free field representation and form factors of the chiral Gross-Neveu model
• Form factor relocalisation and interpolating renormalisation group flows from the staircase model
• Form factors in the Bullough-Dodd related models: The Ising model in a magnetic field
• Nearest neighbor two-point correlation function of the $Z$-invariant eight-vertex model
• A $\hslash$-deformation of the $W_N$ algebra and its vertex operators
• Local density of states of a quarter-filled one-dimensional Mott insulator with a boundary
• Central extension of the reflection equations and an analog of Miki's formula
• Free field representation of the ZF algebra of the SU(N)xSU(N) PCF model
• The SU(n) invariant massive Thirring model with boundary reflection
• On the finite volume expectation values of local operators in the sine-Gordon model
• Fidelities in the spin-boson model
• The critical $A_{n-1}^{(1)}$ chain
• Form factors of descendant operators: Resonance identities in the sinh-Gordon model
• The algebra A_{\hbar,η}(\hat{g}) and Infinite Hopf family of algebras
• Dynamically twisted algebra $A_{q,p;\hat{\pi }}(\widehat{g{l}_2})$ as current algebra generalizing screening currents of q-deformed Virasoro algebra
• On the Vertex Operators of the Elliptic Quantum Algebra $U_{q,p}(\widehat{s{l}_2}{)}_k$}
• On convergence of form factor expansions in the infinite volume quantum Sinh-Gordon model in 1+1 dimensions
• Form factors of descendant operators: Reduction to perturbed $M(2,2s+1)$ models
• Perturbation theory in radial quantization approach and the expectation values of exponential fields in sine-Gordon model
• Form factors of the SU(2) invariant massive Thirring model with boundary reflection
• Effects of Strong Correlation and Randomness in the Vicinity of the Mott Transition in the Quasi-One-Dimensional Hubbard Model
• Wave function renormalization constants and one-particle form factors in $D_l^{(1)}$ Toda field theories
• Lattice models, deformed Virasoro algebra and reduction equation
• Algebraic approach to form factors in the complex sinh-Gordon theory
• Spin dynamics and dark particle in a weak-coupled quantum Ising ladder with ${\mathcal{D}}_8^{(1)}$ spectrum
• Asymptotic factorization of n-particle SU(N) form factors
• The elliptic quantum algebra $U_{q,p}(\widehat{s{l}_N})$ and its vertex operators
• Long-time divergences in the nonlinear response of gapped one-dimensional many-particle systems
• Fock representations of Zamolodchikov algebras and R-matrices
• Complete Minimal Form Factors for Irrelevant Deformations of Integrable Quantum Field Theory