Conformal linear gravity in de Sitter space II

Abstract

From the group theoretical point of view, it is proved that the theory of linear conformal gravity should be written in terms of a tensor field of rank-3 and mixed symmetry [Binegar, et al, Phys. Rev. D 27, (1983) 2249]. We obtained such a field equation in de Sitter space [Takook, et al, J. Math. Phys. 51, (2010) 032503]. In this paper, a proper solution to this equation is obtained as a product of a generalized polarization tensor and a massless scalar field and then the conformally invariant two-point function is calculated. This two-point function is de Sitter invariant and free of any pathological large-distance behavior.

16 pages, no figure, published version

References in corpus (4)

• No-ghost theorem for the fourth-order derivative Pais-Uhlenbeck oscillator model
• Exactly solvable PT-symmetric Hamiltonian having no Hermitian counterpart
• Anisotropic Cosmological Constant and the CMB Quadrupole Anomaly
• "Massless" vector field in de Sitter Universe

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• A Group Theoretical Approach to Graviton Two-Point Function
• Quantum Linear Gravity in de Sitter Universe On Gupta-Bleuler vacuum state
• Casimir energy-momentum tensor for a quantized bulk scalar field in the geometry of two curved branes on Friedmann-Robertson-Walker background
• Examining a covariant and renormalizable quantum field theory in de Sitter space by studying "black hole radiation"
• de Sitter field equations from quadratic curvature gravity: A group theoretical approach
• Conceptual and technical challenges of quantum gravity