Generalized Virasoro anomaly for dilaton coupled theories

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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 these results to compute vacuum polarization of a spherical star based on the equivalence principle.
10 pages, latex; misprints corrected

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