Energy-momentum tensor for scalar fields coupled to the dilaton in two dimensions

TL;DR

This paper investigates the energy-momentum tensor for quantum scalar fields coupled to the dilaton in two-dimensional gravity, addressing conservation issues, calculating Hawking radiation, and exploring cosmological and quantum effects.

Contribution

It clarifies the evaluation of the energy-momentum tensor in dilaton-coupled scalar fields and provides methods to accurately compute Hawking radiation and quantum corrections.

Findings

Corrected the calculation of Hawking radiation in this context

Analyzed quantum corrections to the Newtonian potential

Studied cosmological particle creation effects

Abstract

We clarify some issues related to the evaluation of the mean value of the energy-momentum tensor for quantum scalar fields coupled to the dilaton field in two-dimensional gravity. Because of this coupling, the energy-momentum tensor for the matter is not conserved and therefore it is not determined by the trace anomaly. We discuss different approximations for the calculation of the energy-momentum tensor and show how to obtain the correct amount of Hawking radiation. We also compute cosmological particle creation and quantum corrections to the Newtonian potential.