Boundary Exchange Algebras and Scattering on the Half Line

Details Boundary Exchange Algebras and Scattering on the Half Line Boundary Exchange Algebras and Scattering on the Half Line

1996-07-11

arxiv.org/abs/hep-th/9607085v2

Commun.Math.Phys. 194 (1998) 569-589

Physics

High Energy Physics

High Energy Physics - Theory

Enlarged version, to appear in Comm. Math. Phys. Tex file, macros included, no figures, 32 pages

Scientific paper

10.1007/s002200050369

Some algebraic aspects of field quantization in space-time with boundaries are discussed. We introduce an associative algebra, whose exchange properties are inferred from the scattering processes in integrable models with reflecting boundary conditions on the half line. The basic properties of this algebra are established and the Fock representations associated with certain involutions are derived. We apply these results for the construction of quantum fields and for the study of scattering on the half line.

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