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.

22 pages Latex, 1 figure

References in corpus (2)

• On duality and reflection factors for the sinh-Gordon model
• Integrable field theory with boundary conditions

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• 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