Massless Flows II: the exact S-matrix approach

Abstract

We study the spectrum, the massless S-matrices and the ground-state energy of the flows between successive minimal models of conformal field theory, and within the sine-Gordon model with imaginary coefficient of the cosine term (related to the minimal models by ``truncation''). For the minimal models, we find exact S-matrices which describe the scattering of massless kinks, and show using the thermodynamic Bethe ansatz that the resulting non-perturbative c-function (defined by the Casimir energy on a cylinder) flows appropriately between the two theories, as conjectured earlier. For the non-unitary sine-Gordon model, we find unusual behavior. For the range of couplings we can study analytically, the natural S-matrix deduced from the minimal one by ``undoing'' the quantum-group truncation does not reproduce the proper c-function with the TBA. It does, however, describe the correct properties of the model in a magnetic field.

34 pages, BUHEP-93-6, USC-93-004, LPM-93-08

Cited by in corpus (52)

• On space of integrable quantum field theories
• Exact non-equilibrium transport through point contacts in quantum wires and fractional quantum Hall devices
• Asymptotic Fragility, Near $Ad{S}_2$ Holography and $T\bar{T}$
• Vortex and Meissner phases of strongly-interacting bosons on a two-leg ladder
• Continuous Phase Transition without Gap Closing in Non-Hermitian Quantum Many-Body Systems
• The complete worldsheet S matrix of superstrings on AdS_3 x S^3 x T^4 with mixed three-form flux
• Strings on NS-NS Backgrounds as Integrable Deformations
• Painleve III and 2D Polymers
• The complete AdS_3 x S^3 x T^4 worldsheet S-matrix
• Quench dynamics of the Ising field theory in a magnetic field
• On the Dressing Factors, Bethe Equations and Yangian Symmetry of Strings on AdS3 x S3 x T4
• The low-energy limit of AdS${}_3$/CFT${}_2$ and its TBA
• RG Flow from ${\varphi }^4$ Theory to the 2D Ising Model
• Irreversibility of the renormalization group flow in non-unitary quantum field theory
• Continuum limit of fishnet graphs and AdS sigma model
• Analytical Bethe Ansatz for closed and open gl(n)-spin chains in any representation
• The $Z_2$ staggered vertex model and its applications
• The 4-loop beta-function in the 2D Non-Abelian Thirring model, and comparison with its conjectured "exact" form
• New families of flows between two-dimensional conformal field theories
• Massive and massless phases in self-dual $Z_N$ spin models: some exact results from the thermodynamic Bethe ansatz
• On O(1) contributions to the free energy in Bethe Ansatz systems: the exact g-function
• Strong-weak coupling duality in anisotropic current interactions
• Fields, particles and universality in two dimensions
• The S-matrix algebra of the AdS2 X S2 superstring
• Free Fermions, vertex Hamiltonians, and lower-dimensional AdS/CFT
• Non-Rational 2D Quantum Gravity II. Target Space CFT
• Field theory of Ising percolating clusters
• Tunneling in quantum wires I: Exact solution of the spin isotropic case
• New functional dilogarithm identities and sine-Gordon Y-systems
• The generalized multi-channel Kondo model: Thermodynamics and fusion equations
• Analytical Bethe Ansatz for open spin chains with soliton non preserving boundary conditions
• $T\bar{T}$ deformation of the Ising model and its ultraviolet completion
• Integrable aspects of the scaling q-state Potts models II: finite-size effects
• Effective potentials and kink spectra in non-integrable perturbed conformal field theories
• Exclusion statistics in conformal field theory and the UCPF for WZW models
• Random Bond Ising Model and Massless Phase of the Gross-Neveu Model
• Mass Generation in Perturbed Massless Integrable Models
• Massless $Ad{S}_2$ scattering and Bethe ansatz
• Correlators in integrable quantum field theory. The scaling RSOS models
• Instantons, renormalons and the theta angle in integrable sigma models
• Infrared Behaviour of Massless Integrable Flows entering the Minimal Models from phi_31
• Boundary transitions of the O(n) model on a dynamical lattice
• The tricritical Ising CFT and conformal bootstrap
• Roaming form factors for the tricritical to critical Ising flow
• Thermodynamics of $T\bar{T}$ perturbations of some single particle field theories
• Form factor relocalisation and interpolating renormalisation group flows from the staircase model
• On $Ad{S}_2/CF{T}_1$ transfer matrices, Bethe ansatz and scale invariance
• Central Charge and the Andrews-Bailey Construction
• Minimal Models RG flows: non-invertible symmetries & non-perturbative description
• Solution of the Thirring Model with Imaginary Mass and Massless Scattering
• Geometry of Massless Scattering in Integrable Superstring
• A study of integrable form factors in massless relativistic $Ad{S}_2$