Eur. Phys. J. C (2014) 74: 3111
https://doi.org/10.1140/epjc/s10052-014-3111-0

Regular Article - Theoretical Physics

Conformally covariant vector–spinor field in de Sitter space

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

^* e-mail: mtakook@yahoo.com
^** e-mail: takook@razi.ac.ir

Received: 30 May 2014
Accepted: 27 September 2014
Published online: 29 October 2014

Abstract

In this paper, we study conformally invariant field equations for a vector–spinor field in the de Sitter space-time. The solutions are also obtained in terms of the de Sitter–Dirac plane waves. The related two-point functions are calculated in both the de Sitter ambient space formalism and intrinsic coordinates. In order to study the conformal invariance, Dirac’s six-cone formalism is utilized in which the field equations are expressed in a manifestly conformal way in -dimensional conformal space and then followed by a projection to the de Sitter space.