Fundamentals of nonassociative classical field theory
Journal Article
·
· Sov. Phys. J. (Engl. Transl.); (United States)
OSTI ID:5235000
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), Journal Name: Sov. Phys. J. (Engl. Transl.); (United States) Vol. 29:11; ISSN SOPJA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRA
ANGULAR MOMENTUM
CLASSICAL MECHANICS
COMMUTATION RELATIONS
FIELD THEORIES
HERMITIAN OPERATORS
LIE GROUPS
LORENTZ GROUPS
LORENTZ TRANSFORMATIONS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICS
MECHANICS
PARTICLE MODELS
PARTICLE PROPERTIES
POINCARE GROUPS
PROJECTION OPERATORS
SPIN
SPINORS
SYMMETRY GROUPS
TENSORS
TRANSFORMATIONS
VECTORS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRA
ANGULAR MOMENTUM
CLASSICAL MECHANICS
COMMUTATION RELATIONS
FIELD THEORIES
HERMITIAN OPERATORS
LIE GROUPS
LORENTZ GROUPS
LORENTZ TRANSFORMATIONS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICS
MECHANICS
PARTICLE MODELS
PARTICLE PROPERTIES
POINCARE GROUPS
PROJECTION OPERATORS
SPIN
SPINORS
SYMMETRY GROUPS
TENSORS
TRANSFORMATIONS
VECTORS