Form factors of boundary fields for A(2)-affine Toda field theory
arXiv:0710.0501 · doi:10.1088/1751-8113/41/19/194005
Abstract
In this paper we carry out the boundary form factor program for the A(2)-affine Toda field theory at the self-dual point. The latter is an integrable model consisting of a pair of particles which are conjugated to each other and possessing two bound states resulting from the scattering processes 1 +1 -> 2 and 2+2-> 1. We obtain solutions up to four particle form factors for two families of fields which can be identified with spinless and spin-1 fields of the bulk theory. Previously known as well as new bulk form factor solutions are obtained as a particular limit of ours. Minimal solutions of the boundary form factor equations for all A(n)-affine Toda field theories are given, which will serve as starting point for a generalisation of our results to higher rank algebras.
arXiv comment24 pages LaTeX, 1 figure
References in corpus (31)
- Boundary S-Matrix and Boundary State in Two-Dimensional Integrable Quantum Field Theory
- Correlation Functions of the XXZ model for
- QKZ equation with |q|=1 and correlation functions of the XXZ model in the gapless regime
- Form Factors for Integrable Lagrangian Field Theories, the Sinh-Gordon Model
- Classically integrable boundary conditions for affine Toda field theories
- Affine Toda field theory on a half line
- XXZ chain with a boundary
- Bound State Boundary S-matrix of the sine-Gordon Model
- Difference Equations in Spin Chains with a Boundary
- Deformations of W-algebras associated to simple Lie algebras
- Affine Toda Field Theory in the Presence of Reflecting Boundaries
- Aspects of affine Toda field theory on a half line
- Reflection factors and a two-parameter family of boundary bound states in the sinh-Gordon model
- On the boundary form factor program
- On duality and reflection factors for the sinh-Gordon model
- On Ising Correlation Functions with Boundary Magnetic Field
- Form-factors of exponential fields in the affine A^{(1)}_{N-1} Toda model
- On the universal Representation of the Scattering Matrix of Affine Toda Field Theory
- Boundary Bound States in Affine Toda Field Theory
- Boundary ABF Models
- Particle Reflection Amplitudes in a_n^(1) Toda Field Theories
- On a_2^(1) Reflection Matrices and Affine Toda Theories
- Exact form factors for the scaling Z{N}-Ising and the affine A{N-1}-Toda quantum field theories
- -analog of the XXZ chain with a boundary
- Functional Equations of Form Factors for Diagonal Scattering Theories
- Boundary breathers in the sinh-Gordon model
- Boundary form factors of the sinh-Gordon model with Dirichlet boundary conditions at the self-dual point
- Spectrum of local boundary operators from boundary form factor bootstrap
- On the perturbative expansion of boundary reflection factors of the supersymmetric sinh-Gordon model
- Universal boundary reflection amplitudes
- Form factors of the SU(2) invariant massive Thirring model with boundary reflection
Cited by in corpus (9)
- Boundary form factors in finite volume
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- Form factors in the presence of integrable defects
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- Breather boundary form factors in sine-Gordon theory
- Finite temperature expectation values of boundary operators
- On form factors of boundary changing operators
- Explicit boundary form factors: the scaling Lee-Yang model
- Boundary Quantum Field Theories Perturbed by : Towards a Form Factor Program