Quantum corrections to the classical reflection factor in A2(1) Toda Field Theory

Abstract

The $O({\beta }^2)$ quantum correction to the classical reflection factor is calculated for one of the integrable boundary conditions of $a_2^{(1)}$ affine Toda field theory. This is found to agree with the conjectured exact reflection factor of the quantum theory. We consider the existence of other exact reflection factors consistent with our perturbative answer and examine the question of how duality transformations might relate theories with different boundary conditions.

arXiv comment22 pages Latex, 1 figure

References in corpus (18)

• Boundary S-Matrix and Boundary State in Two-Dimensional Integrable Quantum Field Theory
• Quantum Solitons in Affine Toda Field Theories
• Classically integrable boundary conditions for affine Toda field theories
• Affine Toda field theory on a half line
• Factorized Scattering in the Presence of Reflecting Boundaries
• Bound State Boundary S-matrix of the sine-Gordon Model
• Affine Toda Field Theory in the Presence of Reflecting Boundaries
• Aspects of affine Toda field theory on a half line
• On duality and reflection factors for the sinh-Gordon model
• Boundary Bound States in Affine Toda Field Theory
• Reflection Bootstrap Equations for Toda Field Theory
• Quantum integrability in two-dimensional systems with boundary
• Boundary Effects in Integrable Field Theory on a Half Line
• Recent developments in affine Toda field theory
• Classical backgrounds and scattering for affine Toda theory on a half-line
• Classical Versus Quantum Symmetries for Toda Theories with a Nontrivial Boundary Perturbation
• Boundary Reflection Matrix for $ade$ Affine Toda Field Theory
• Integrable field theory with boundary conditions

Cited by in corpus (10)

• Generalisations of the Coleman-Thun mechanism and boundary reflection factors
• Particle Reflection Amplitudes in a_n^(1) Toda Field Theories
• On perturbative quantum field theory with boundary
• Boundary reduction formula
• Universal boundary reflection amplitudes
• On the quantum reflection factor for the sinh-Gordon model with general boundary conditions
• First order quantum corrections to the classical reflection factor of the sinh-Gordon model
• Aspects of classical backgrounds and scattering for affine Toda theory on a half-line
• Second order quantum corrections to the classical reflection factor of the sinh-Gordon model
• On some aspects of the definition of scattering states in quantum field theory