Auxiliary "Massless" Spin-2 Field in De Sitter Universe

作者：Pejhan H; Tanhayi M R^*; Takook M V

来源：International Journal of Theoretical Physics, 2010, 49(9): 2263-2277.

DOI：10.1007/s10773-010-0413-3

• Conformal invariance
• De Sitter Space
• Spin-2 wave equation in de Sitter space
• de Sitter and conformal groups

For the tensor field of rank-2 there are two unitary irreducible representation (UIR) in de Sitter (dS) space denoted by Pi(+/-)(2,2) and Pi(+/-)(2,1) (Dixmier in Bull Soc. Math. France 89:9, 1961). In the flat limit only the Pi(+/-)(2,2) coincides to the UIR of Poincare group, the second one becomes important in the study of conformal gravity. In the previous 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 (Dehghani et al. in Phys. Rev. D 77:064028, 2008). This equation results in a field which transformed according to Pi(+/-)(2,1) 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.

• 出版日期2010-9