Boundary Effects in Integrable Field Theory on a Half Line

Abstract

Abstarct: Boundary effects caused by the boundary interactions in various integrable field theories on a half line are discussed at the classical as well as the quantum level. Only the so-called ``integrable" boundary interactions are discussed. They are obtained by the requirement that certain combinations of the lower members of the infinite set of conserved quantities should be preserved. Contrary to the naive expectations, some ``integrable" boundary interactions can drastically change the character of the theory. In some cases, for example, the sinh-Gordon theory, the theory becomes ill-defined because of the instability introduced by ``integrable" boundary interactions for a certain range of the parameter.

12 pages

Cited by in corpus (11)

• On duality and reflection factors for the sinh-Gordon model
• Particle Reflection Amplitudes in a_n^(1) Toda Field Theories
• Quantum integrability in two-dimensional systems with boundary
• Breaking integrability at the boundary: the sine-Gordon model with Robin boundary conditions
• Quantum corrections to the classical reflection factor in A2(1) Toda Field Theory
• Boundary Reflection Matrix for $ade$ Affine Toda Field Theory
• Universal boundary reflection amplitudes
• Integrable field theory with boundary conditions
• Aspects of classical backgrounds and scattering for affine Toda theory on a half-line
• Boundary Reflection Matrix for $D_4^{(1)}$ Affine Toda Field Theory
• Toda Lattice Models with Boundary