Scattering in algebraic approach to quantum theory. Associative algebras
High Energy Physics - Theory
2022-10-11 v2 Statistical Mechanics
Mathematical Physics
math.MP
Operator Algebras
Abstract
The definitions of scattering matrix and inclusive scattering matrix in the framework of formulation of quantum field theory in terms of associative algebras with involution are presented. The scattering matrix is expressed in terms of Green functions on shell (LSZ formula) and the inclusive scattering matrix is expressed in terms of generalized Green functions on shell. The expression for inclusive scattering matrix can be used also for quasi-particles (for elementary excitations of any translation-invariant stationary state, for example, for elementary excitations of equilibrium state.) An interesting novelty is the consideration of associative algebras over real numbers.
Keywords
Cite
@article{arxiv.2107.08553,
title = {Scattering in algebraic approach to quantum theory. Associative algebras},
author = {Albert Schwarz},
journal= {arXiv preprint arXiv:2107.08553},
year = {2022}
}
Comments
Improved proofs. New results