Particle scattering in nonassociative quantum field theory
Vladimir Dzhunushaliev
TL;DR
This paper introduces a novel quantum field theory model where field operators form a nonassociative algebra, leading to independent Green's functions and nonlocal virtual particle interactions.
Contribution
It proposes a new nonassociative algebraic framework for quantum fields, revealing unique properties of Green's functions and interaction mechanisms.
Findings
Green's functions become functionally independent
Particle interactions are mediated by nonlocal virtual objects
The model offers a new perspective on nonassociative quantum field theories
Abstract
A model of quantum field theory in which the field operators form a nonassociative algebra is proposed. In such a case, the n-point Green's functions become functionally independent of each other. It is shown that particle interaction in such a theory can be realized by nonlocal virtual objects.
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Taxonomy
TopicsQuantum Mechanics and Applications · Cold Atom Physics and Bose-Einstein Condensates · Algebraic and Geometric Analysis