Fundamentals of nonassociative classical field theory

Journal Article · Fri May 01 00:00:00 EDT 1987 · Sov. Phys. J. (Engl. Transl.); (United States)

OSTI ID:5235000

Kurdgelaidze, D F

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.

• Research Organization: Tbilisi Medical Institute (USSR)
• OSTI ID: 5235000
• Journal Information: Sov. Phys. J. (Engl. Transl.); (United States), Vol. 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

Related Subjects

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