Auxiliary "massless" spin-2 field in de Sitter universe

Abstract

For the tensor field of rank-2 there are two unitary irreducible representation (UIR) in de Sitter (dS) space denoted by ${\Pi }_{2,2}^{\pm }$ and ${\Pi }_{2,1}^{\pm }$ [1]. In the flat limit only the ${\Pi }_{2,2}^{\pm }$ coincides to the UIR of Poincaré group, the second one becomes important in the study of conformal gravity. In the pervious work, Dirac's six-cone formalism has been utilized to obtain conformally invariant (CI) field equation for the "massless" spin-2 field in dS space [2]. This equation results in a field which transformed according to ${\Pi }_{2,1}^{\pm }$, we name this field the auxiliary field. In this paper this auxiliary field is considered and also related two-point function is calculated as a product of a polarization tensor and "massless" conformally coupled scalar field. This two-point function is de Sitter invariant.

16 pages

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Cited by in corpus (4)

• Quantum Field Theory in de Sitter Universe: Ambient Space Formalism
• Linear Weyl Gravity in de Sitter Universe
• Entropy of Quantum Fields in de Sitter Space-time
• Interaction of massless minimally coupled scalar field with spinor field in de Sitter universe