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Title: Fundamentals of nonassociative classical field theory

Abstract

A nonassociative classical field theory is constructed. Octonion algebra is studied. The octonion is represented as the sum of a quaternion and an associator. The octonion algebra is expanded and Lorentz group generators are specified in terms of octonion bases in one of the subalgebras. Lorentz vectors and spinors are constructed in the nonassociative algebra. The representation of the Lorentz group in terms of spin and the associator is obtained.

Authors:
Publication Date:
Research Org.:
Tbilisi Medical Institute (USSR)
OSTI Identifier:
5235000
Resource Type:
Journal Article
Journal Name:
Sov. Phys. J. (Engl. Transl.); (United States)
Additional Journal Information:
Journal Volume: 29:11; Other Information: Translated from Izv. Vyssh. Uchebn. Zaved., Fiz.; 29: No. 11, 22-27(Nov 1986)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; FIELD THEORIES; CLASSICAL MECHANICS; ALGEBRA; COMMUTATION RELATIONS; HERMITIAN OPERATORS; LORENTZ GROUPS; LORENTZ TRANSFORMATIONS; PARTICLE MODELS; PROJECTION OPERATORS; SPIN; SPINORS; VECTORS; ANGULAR MOMENTUM; LIE GROUPS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MATHEMATICS; MECHANICS; PARTICLE PROPERTIES; POINCARE GROUPS; SYMMETRY GROUPS; TENSORS; TRANSFORMATIONS; 645400* - High Energy Physics- Field Theory

Citation Formats

Kurdgelaidze, D F. Fundamentals of nonassociative classical field theory. United States: N. p., 1987. Web.
Kurdgelaidze, D F. Fundamentals of nonassociative classical field theory. United States.
Kurdgelaidze, D F. 1987. "Fundamentals of nonassociative classical field theory". United States.
@article{osti_5235000,
title = {Fundamentals of nonassociative classical field theory},
author = {Kurdgelaidze, D F},
abstractNote = {A nonassociative classical field theory is constructed. Octonion algebra is studied. The octonion is represented as the sum of a quaternion and an associator. The octonion algebra is expanded and Lorentz group generators are specified in terms of octonion bases in one of the subalgebras. Lorentz vectors and spinors are constructed in the nonassociative algebra. The representation of the Lorentz group in terms of spin and the associator is obtained.},
doi = {},
url = {https://www.osti.gov/biblio/5235000}, journal = {Sov. Phys. J. (Engl. Transl.); (United States)},
number = ,
volume = 29:11,
place = {United States},
year = {Fri May 01 00:00:00 EDT 1987},
month = {Fri May 01 00:00:00 EDT 1987}
}