Geometric interpretation for the Dirac field in curved space
Journal Article
·
· J. Math. Phys. (N.Y.); (United States)
The imposition of the condition of length invariance on a Weyl manifold that does not lead uniquely to general relativity is shown. Rather, in this limit, the Weyl vector field can be interpreted as a Dirac current. The action is also the same as the Einstein Dirac one, if and only if, the spinor field is anticommuting. The allowed interactions are greatly restricted. They are only minimal gauge couplings and Yukawa interactions with a scalar field transforming according to the rules of Utiyama (Prog. Theor. Phys. 53, 565 (1975)).
- Research Organization:
- Department of Physics, Indian Institute of Technology, Delhi, New Delhi, 110 029, India
- OSTI ID:
- 6262565
- Journal Information:
- J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 28:10; ISSN JMAPA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645400 -- High Energy Physics-- Field Theory
657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMMUTATION RELATIONS
DIRAC APPROXIMATION
EINSTEIN FIELD EQUATIONS
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
GAUGE INVARIANCE
GENERAL RELATIVITY THEORY
INVARIANCE PRINCIPLES
NONLINEAR PROBLEMS
SCALE INVARIANCE
SPINORS
UNIFIED-FIELD THEORIES
VECTOR FIELDS
WEYL UNIFIED THEORY
657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMMUTATION RELATIONS
DIRAC APPROXIMATION
EINSTEIN FIELD EQUATIONS
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
GAUGE INVARIANCE
GENERAL RELATIVITY THEORY
INVARIANCE PRINCIPLES
NONLINEAR PROBLEMS
SCALE INVARIANCE
SPINORS
UNIFIED-FIELD THEORIES
VECTOR FIELDS
WEYL UNIFIED THEORY