English

Generalized Virasoro anomaly and stress tensor for dilaton coupled theories

High Energy Physics - Theory 2015-06-26 v1 General Relativity and Quantum Cosmology

Abstract

We derive the anomalous transformation law of the quantum stress tensor for a 2D massless scalar field coupled to an external dilaton. This provides a generalization of the Virasoro anomaly which turns out to be consistent with the trace anomaly. We apply it together with the equivalence principle to compute the expectation values of the covariant quantum stress tensor on a curved background. Finally we briefly illustrate how to evaluate vacuum polarization and Hawking radiation effects from these results.

Keywords

Cite

@article{arxiv.hep-th/0309160,
  title  = {Generalized Virasoro anomaly and stress tensor for dilaton coupled theories},
  author = {A. Fabbri and S. Farese and J. Navarro-Salas},
  journal= {arXiv preprint arXiv:hep-th/0309160},
  year   = {2015}
}

Comments

enlarged version of hep-th/0307096 containing the quantum stress tensor for arbitrary geometries and discussion of the Hawking effect. To appear in Phys. Lett. B