Reflection-Transmission Algebras
M. Mintchev, E. Ragoucy, P. Sorba
TL;DR
This paper introduces a generalized algebraic framework inspired by particle-impurity scattering in 1+1 dimensions, incorporating reflection and transmission operators to model interactions.
Contribution
It proposes a new algebraic structure extending the Zamolodchikov-Faddeev algebra with reflection and transmission generators, and develops a corresponding scattering theory.
Findings
Explicit construction of Fock representations
Development of a general factorized scattering theory
Algebraic description of particle-impurity interactions
Abstract
Inspired by factorized scattering from delta-type impurities in (1+1)-dimensional space-time, we propose and analyse a generalization of the Zamolodchikov-Faddeev algebra. Distinguished elements of the new algebra, called reflection and transmission generators, encode the particle-impurity interactions. We describe in detail the underlying algebraic structure. The relative Fock representations are explicitly constructed and a general factorized scattering theory is developed in this framework.
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