Cosmology of the non-local Proca theory

Understand

In this paper, we will consider cosmological implications of the Maxwell theory coupled to a non-local $U(1)$-symmetric term.

• It is well-known that the theory in flat space time, reduces to the Proca theory.
• However, it will be shown that in curved space time the resulting theory will differ from the coupled Einstein-Proca system.
• The cosmological perturbations on top of the de Sitter space-time is also considered and the dynamics of separate modes will be investigated in detail.