Boundary reduction formula
Z. Bajnok, G. Bohm, G. Takacs
TL;DR
This paper develops an asymptotic theory for non-integrable boundary quantum field theories in 1+1 dimensions, connecting reflection matrices to Green functions through a boundary reduction formula.
Contribution
It introduces a boundary reduction formula linking reflection matrices and Green functions, unifying different $R$-matrix definitions in boundary quantum field theories.
Findings
Derived a boundary reduction formula for non-integrable theories.
Connected reflection matrices with Green functions.
Unified $R$-matrix definitions in boundary QFT.
Abstract
An asymptotic theory is developed for general non-integrable boundary quantum field theory in 1+1 dimensions based on the Langrangean description. Reflection matrices are defined to connect asymptotic states and are shown to be related to the Green functions via the boundary reduction formula derived. The definition of the -matrix for integrable theories due to Ghoshal and Zamolodchikov and the one used in the perturbative approaches are shown to be related.
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