Angular quantization and form-factors in massive integrable models

Abstract

We discuss an application of the method of the angular quantization to reconstruction of form-factors of local fields in massive integrable models. The general formalism is illustrated with examples of the Klein-Gordon, sinh-Gordon and Bullough-Dodd models. For the latter two models the angular quantization approach makes it possible to obtain free field representations for form-factors of exponential operators. We discuss an intriguing relation between the free field representations and deformations of the Virasoro algebra. The deformation associated with the Bullough-Dodd models appears to be different from the known deformed Virasoro algebra.

23 pages, harvmac.tex

References in corpus (1)

• Exact expectation values of local fields in quantum sine-Gordon model

Cited by in corpus (37)

• Form factors of branch-point twist fields in quantum integrable models and entanglement entropy
• Exact Form Factors in Integrable Quantum Field Theories: the Sine-Gordon Model
• Quantization of models with non-compact quantum group symmetry. Modular XXZ magnet and lattice sinh-Gordon model
• 1D Lieb-Liniger Bose Gas as Non-Relativistic Limit of the Sinh-Gordon Model
• On the spectrum of the Sinh-Gordon model in finite volume
• Towards the Construction of Wightman Functions of Integrable Quantum Field Theories
• Equilibration Properties of Classical Integrable Field Theories
• 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
• Sine-Gordon breather form factors and quantum field equations
• Arguments towards a c-theorem from branch-point twist fields
• Free Field Construction for the ABF Models in Regime II
• Exact form factors of the O(N) $\sigma$-model
• Conical Twist Fields and Null Polygonal Wilson Loops
• Free Field Approach to the Dilute A_L Models
• The Exact Quantum Sine-Gordon Field Equation and Other Non-Perturbative Results
• Angular quantization and the density matrix renormalization group
• Expectation values of twist fields and universal entanglement saturation of the free massive boson
• Higher particle form factors of branch point twist fields in integrable quantum field theories
• 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
• Quadratic relations of the deformed $W$-superalgebra ${\mathcal{W}}_{q,t}(\mathfrak{sl}(2|1))$
• Quadratic relations of the deformed $W$-superalgebra ${\mathcal{W}}_{q,t}(A(M,N))$
• Bethe Ansatz and exact form factors of the O(N) Gross Neveu-model
• Free field representation and form factors of the chiral Gross-Neveu model
• Charge inversion of colloids in an exactly solvable model
• Deformed Virasoro algebras from elliptic quantum algebras
• Like-charge attraction at short distances in a charge-asymmetric two-dimensional two-component plasma: Exact results
• Form factors in the Bullough-Dodd related models: The Ising model in a magnetic field
• Free field representation of the ZF algebra of the SU(N)xSU(N) PCF model
• Lattice Unruh effect and world-line entanglement for the XXZ chain
• Two-point correlation functions in perturbed minimal models
• On convergence of form factor expansions in the infinite volume quantum Sinh-Gordon model in 1+1 dimensions
• Angular-time evolution for the Affleck-Kennedy-Lieb-Tasaki chain and its edge-state dynamics
• Wave function renormalization constants and one-particle form factors in $D_l^{(1)}$ Toda field theories
• Asymptotic factorization of n-particle SU(N) form factors
• Quadratic Relations of the Deformed $W$-Algebra for the Twisted Affine Lie Algebra of Type $A_{2N}^{(2)}$