English

Reflection-Transmission Algebras

High Energy Physics - Theory 2008-11-26 v1 Condensed Matter Mathematical Physics math.MP Quantum Algebra Exactly Solvable and Integrable Systems

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.

Keywords

Cite

@article{arxiv.hep-th/0303187,
  title  = {Reflection-Transmission Algebras},
  author = {M. Mintchev and E. Ragoucy and P. Sorba},
  journal= {arXiv preprint arXiv:hep-th/0303187},
  year   = {2008}
}

Comments

LaTex, 34 pages, 4 figures