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Energy-momentum tensor for scalar fields coupled to the dilaton in two dimensions
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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 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.
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LOMBARDO, Fernando C., MAZZITELLI, Francisco D. and RUSSO, J. G. (Jorge Guillermo). Energy-momentum tensor for scalar fields coupled to the dilaton in two dimensions. Physical Review D. 1999. Vol. 59, num. 6, pags. 064007-1-064007-8. ISSN 0556-2821. [consulted: 10 of October of 2026]. Available at: https://hdl.handle.net/2445/12471