A nonassociative operator decomposition of strongly interacting quantum fields

2009/06/07 by Vladimir Dzhunushaliev, Dzhunushaliev, Vladimir · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.0906.1321

openalex publication_date 2009/06/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Working towards an algebra for operators of strongly interacting quantum fields, a nonassociative decomposition of field operators is proposed. In the demonstrated case, quantum corrections appear from the possible bracket permutations. A similarity of these corrections, as compared to corrections from dimensional transmutation, is considered.

Cited by

• Nonassociative quantum theory, emergent probability, and coquasigroup symmetry

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