English

Colorless operators in a non-associative quantum theory

High Energy Physics - Theory 2009-11-11 v6 High Energy Physics - Phenomenology Rings and Algebras Quantum Physics

Abstract

The associators/antiassociators for the product of four non-associative operators are deduced. By analogy with SU(3) gauge theory the notion of colorless (white) operators is introduced. Some properties of white operators are considered. It is hypothesized that white operators do not give any contribution to corresponding associators/antiassociators. It is suggested that the observables in a non-associative quantum theory correspond to the white operators only.

Keywords

Cite

@article{arxiv.hep-th/0507032,
  title  = {Colorless operators in a non-associative quantum theory},
  author = {Vladimir Dzhunushaliev},
  journal= {arXiv preprint arXiv:hep-th/0507032},
  year   = {2009}
}

Comments

final version, title and text are changed

R2 v1 2026-07-22T15:30:53.909Z