Trace of energy-momentum tensor of scalar field in an electric field in 2D de Sitter spacetime

Abstract

In this paper, the trace of the energy-momentum tensor of scalar field in an electric field background in a 2 dimensional de Sitter spacetime is investigated. Applying adiabatic subtraction regularization scheme the logarithmic ultraviolet divergence is removed and a finite result will be obtained. We find that for the light scalar field case the trace changes the sign. We investigate the behavior of the trace in the limiting regimes of the scalar field mass and the electric field background intensities.