Sine-Gordon form factors in finite volume

Abstract

We compare form factors in sine-Gordon theory, obtained via the bootstrap, to finite volume matrix elements computed using the truncated conformal space approach. For breather form factors, this is essentially a straightforward application of a previously developed formalism that describes the volume dependence of operator matrix elements up to corrections exponentially decaying with the volume. In the case of solitons, it is necessary to generalize the formalism to include effects of non-diagonal scattering. In some cases it is also necessary to take into account some of the exponential corrections (so-called mu-terms) to get agreement with the numerical data. For almost all matrix elements the comparison is a success, with the puzzling exception of some breather matrix elements that contain disconnected pieces. We also give a short discussion of the implications of the observed behaviour of mu-terms on the determination of operator matrix elements from finite volume data, as occurs e.g. in the context of lattice field theory.

LaTeX2e file, 28 pages, 13 eps figures. v2: a reference added, intro slightly changed

References in corpus (31)

• How Algebraic Bethe Ansatz works for integrable model
• Exact expectation values of local fields in quantum sine-Gordon model
• Weak transition matrix elements from finite-volume correlation functions
• Exact Form Factors in Integrable Quantum Field Theories: the Sine-Gordon Model
• On the Operator Content of the Sinh-Gordon Model
• Free Field Representation For Massive Integrable Models
• Form factors in finite volume II:disconnected terms and finite temperature correlators
• Asymptotic factorisation of form factors in two-dimensional quantum field theory
• Form factors in finite volume I: form factor bootstrap and truncated conformal space
• Form-factors of exponential fields in the sine-Gordon model
• Finite-temperature lineshapes in gapped quantum spin chains
• Truncated Conformal Space at c=1, Nonlinear Integral Equation and Quantization Rules for Multi-Soliton States
• Exact form factors in integrable quantum field theories: the sine-Gordon model (II)
• Counting the local fields in SG theory.
• The k-folded sine-Gordon model in finite volume
• Finite-Temperature Form Factors: a Review
• The space of local operators in perturbed conformal field theories,
• On the boundary form factor program
• Quasi-classical Study of Form Factors in Finite Volume
• Applications of Massive Integrable Quantum Field Theories to Problems in Condensed Matter Physics
• Characterization of resonances using finite size effects
• Form-Factor Bootstrap and the Operator Content of Perturbed Minimal Models
• The form factors in the finite volume
• Luscher's mu-term and finite volume bootstrap principle for scattering states and form factors
• Finite-Volume Form Factors in Semiclassical Approximation
• Non-unitarity in quantum affine Toda theory and perturbed conformal field theory
• Boundary form factors in finite volume
• Form factor perturbation theory from finite volume
• Form factors of boundary exponential operators in the sinh-Gordon model
• A method to determine the operator content of perturbed conformal field theories
• Finite volume form factors and correlation functions at finite temperature

Cited by in corpus (28)

• Quantum quench in the sine-Gordon model
• Dynamics in the Ising field theory after a quantum quench
• Non-perturbative methodologies for low-dimensional strongly-correlated systems: From non-abelian bosonization to truncated spectrum methods
• Correlation Functions of the Quantum Sine-Gordon Model in and out of Equilibrium
• Transport in the sine-Gordon field theory: from generalized hydrodynamics to semiclassics
• Overlaps after quantum quenches in the sine-Gordon model
• Memory-preserving equilibration after a quantum quench in a 1d critical model
• Branch Point Twist Field Form Factors in the sine-Gordon Model II: Composite Twist Fields and Symmetry Resolved Entanglement
• Quasilocal charges and progress towards the complete GGE for field theories with non-diagonal scattering
• Signatures of Chaos in Non-integrable Models of Quantum Field Theory
• On Form Factors in nested Bethe Ansatz systems
• Spectral expansion for finite temperature two-point functions and clustering
• Diagonal multi-soliton matrix elements in finite volume
• Sine-Gordon multi-soliton form factors in finite volume
• Thermodynamics and fractal Drude weights in the sine-Gordon model
• One-point functions in finite volume/temperature: a case study
• Finite temperature one-point functions in non-diagonal integrable field theories: the sine-Gordon model
• Branch Point Twist Field Form Factors in the sine-Gordon Model I: Breather Fusion and Entanglement Dynamics
• Popcorn Drude weights from quantum symmetry
• Regularization of multi-soliton form factors in sine-Gordon model
• Determining matrix elements and resonance widths from finite volume: the dangerous mu-terms
• Thermodynamic Bethe Ansatz and Generalised Hydrodynamics in the sine-Gordon model
• Exact finite volume expectation values of $\bar{\Psi }\Psi$ in the Massive Thirring model from light-cone lattice correlators
• Lattice approach to finite volume form-factors of the Massive Thirring/Sine-Gordon model
• A study of integrable form factors in massless relativistic AdS_3
• The LeClair-Mussardo series and nested Bethe Ansatz
• Spin dynamics and dark particle in a weak-coupled quantum Ising ladder with ${\mathcal{D}}_8^{(1)}$ spectrum
• Norm of Bethe-wave functions in the continuum limit