Eur. Phys. J. C (2015) 75: 119
https://doi.org/10.1140/epjc/s10052-015-3339-3

Regular Article - Theoretical Physics

A group theoretical approach to graviton two-point function

¹ Department of Physics, Islamic Azad University, Central Branch, Tehran, Iran
² Department of Physics, Science and Research Branch, Islamic Azad University, Tehran, Iran

^* e-mail: h.pejhan@yahoo.com
^** e-mail: h.pejhan@piau.ac.ir

Received: 23 January 2015
Accepted: 27 February 2015
Published online: 13 March 2015

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 (Binegar et al., Phys Rev D 27: 2249, 1983). Pursuing this path, such a field equation was obtained in de Sitter space (Takook et al., J Math Phys 51:032503, 2010). In the 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 an infrared divergence.