Conformal invariance in gauge theories. III. Linear Gravitation
The result s of the first two parts of the present study are generalized to the case of nonlinear gravitation. Under the assumption that the gauge tensor field of second rank transforms in accordance with a non-principal representation of the conformal group it is found that the conformally invariant two-point functions of this field have nonzero transverse part, and a nondegenerate conformally invariant Lagrangian is also constructed. It is shown that in the gauge-invariant sector this theory is identical with ordinary renormalizable linear gravitation. The global symmetry of the effective Lagrangian, which can be used to separate the subspace of transverse states and derive a Ward identity, is discussed.
- Research Organization:
- Institute of Nuclear Research and Nuclear Energy, Sofia (Bulgaria)
- OSTI ID:
- 6269490
- Journal Information:
- Theor. Math. Phys.; (United States), Journal Name: Theor. Math. Phys.; (United States) Vol. 75:3; ISSN TMPHA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
657003 -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BASIC INTERACTIONS
BOSONS
CONFORMAL GROUPS
CONFORMAL INVARIANCE
FERMIONS
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
GRAVITATION
GRAVITATIONAL INTERACTIONS
GREEN FUNCTION
INTERACTIONS
INVARIANCE PRINCIPLES
LAGRANGIAN FUNCTION
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MINKOWSKI SPACE
PARTICLE MODELS
PROJECTION OPERATORS
QUANTUM FIELD THEORY
QUANTUM GRAVITY
SCALAR FIELDS
SPACE
SYMMETRY
SYMMETRY GROUPS
TENSORS
UNIFIED GAUGE MODELS
UNIFIED-FIELD THEORIES
VECTOR FIELDS
WARD IDENTITY
WEYL UNIFIED THEORY