Trace anomaly of scalar field in 2 dimensional de Sitter quantum electrodynamics

Abstract

In this paper, the in-vacuum expectation value of the energy-momentum tensor of the complex scalar field coupled to a uniform electric field background in a two dimensional de Sitter spacetime has been computed. For regularization of the expectation values, we have constructed the second order adiabatic expansions of the counterterms and have shown that finite expressions are obtained for the components of the energy-momentum tensor. We have evaluated the trace anomaly of the energy-momentum tensor which exactly agrees with the trace anomaly derived earlier for a scalar field in a two dimensional de Sitter spacetime.