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High Energy Physics - Theory
Title: Scattering in algebraic approach to quantum theory. Associative algebras
(Submitted on 18 Jul 2021 (v1), last revised 9 Oct 2022 (this version, v2))
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.
Submission history
From: Albert Schwarz [view email][v1] Sun, 18 Jul 2021 22:39:35 GMT (17kb)
[v2] Sun, 9 Oct 2022 06:57:21 GMT (19kb)
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