1207.4342 (S. Haouat et al.)

Exact fermion pair creation by an electric field in dS_2 space-time    [PDF]

S. Haouat, R. Chekireb

The effect of the electric field on the creation of spin 1/2 particles from vacuum in the (1+1) dimensional de-Sitter space-time is studied. The Dirac equation with a constant electric field is solved by introducing an unitary transformation. Then the canonical method based on Bogoliubov transformation is applied to calculate the pair creation probability and the density number of created particles. It is shown that the electric field amplifies the creation of spin (1/2) particles. The limit H=0, where dS space reduces to the flat Minkowski space-time, is studied. The imaginary part of the effective action is extracted from the vacuum to vacuum transition amplitude.

View original: http://arxiv.org/abs/1207.4342