A Group Theoretical Approach to Graviton Two-Point Function

Abstract

Respecting the group theoretical approach, it is debated that the theory of linear conformal gravity should be formulated through a tensor field of rank-3 and mixed symmetry \cite{binegar}. Pursuing this path, such a field equation was obtained in de Sitter space \cite{takook}. In present work, considering the de Sitter ambient space notation, a proper solution to the physical part of this field equation is obtained. We have also calculated the related two-point function, which is interestingly de Sitter invariant and free of infrared divergence.

10 pages

References in corpus (4)

• Metric-affine f(R) theories of gravity
• The dynamics of metric-affine gravity
• "Massless" vector field in de Sitter Universe
• Conformal linear gravity in de Sitter space II

Cited by in corpus (4)

• Covariant and infrared-free graviton two-point function in de Sitter spacetime
• The Krein-Gupta-Bleuler Quantization in de Sitter Space-time; Casimir Energy-Momentum Tensor for a Curved Brane
• 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"