Boundary bound states in integrable quantum field theories

Details Boundary bound states in integrable quantum field theories Boundary bound states in integrable quantum field theories

2000-10-12

arxiv.org/abs/hep-th/0010094v1

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, JHEP proceedings style, talk presented at the TMR conference "Nonperturbative Quantum Effects 2000"

Scientific paper

The purpose of this talk is to sketch some recent progress which has been made in calculating non-perturbatively the reflection factors for the sinh-Gordon model restricted to a half-line by integrable boundary conditions. The essential idea is to calculate the energy spectrum of boundary breathers in two independent ways; firstly by using the boundary bootstrap and secondly by quantizing the classical solutions corresponding to boundary breathers. Comparing these two calculations provides a way to determine the dependence of the reflection factors on the parameters introduced into the Lagrangian by the boundary conditions. The basic idea is illustrated using a massive free scalar field with a linear boundary condition confining it to a half-line.

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