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High Energy Physics - Theory

arXiv:hep-th/0507032 (hep-th)
[Submitted on 4 Jul 2005 (v1), last revised 26 Feb 2006 (this version, v6)]

Title:Colorless operators in a non-associative quantum theory

Authors:Vladimir Dzhunushaliev
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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.
Comments: final version, title and text are changed
Subjects: High Energy Physics - Theory (hep-th); High Energy Physics - Phenomenology (hep-ph); Rings and Algebras (math.RA); Quantum Physics (quant-ph)
Report number: IC/IR/2005/006
Cite as: arXiv:hep-th/0507032
  (or arXiv:hep-th/0507032v6 for this version)
  https://doi.org/10.48550/arXiv.hep-th/0507032
Related DOI: https://doi.org/10.1016/j.physleta.2006.02.058

Submission history

From: Vladimir Dzhunushaliev [view email]
[v1] Mon, 4 Jul 2005 12:33:20 UTC (7 KB)
[v2] Thu, 28 Jul 2005 07:34:16 UTC (7 KB)
[v3] Thu, 8 Dec 2005 09:42:29 UTC (12 KB)
[v4] Sun, 11 Dec 2005 06:20:09 UTC (12 KB)
[v5] Fri, 16 Dec 2005 03:53:18 UTC (12 KB)
[v6] Sun, 26 Feb 2006 03:25:37 UTC (9 KB)
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