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Vacuum polarization in Schwarzschild space-time by anomaly induced effective actions

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arxiv hep-th/9904162 v2 pith:7B6B46PA submitted 1999-04-26 hep-th gr-qc

Vacuum polarization in Schwarzschild space-time by anomaly induced effective actions

classification hep-th gr-qc
keywords actionsanomalyeffectiveschwarzschildspace-timestatesauxiliaryboulware
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The characteristic features of $<T_{\mu\nu}>$ in the Boulware, Unruh and Hartle-Hawking states for a conformal massless scalar field propagating in the Schwarzschild space-time are obtained by means of effective actions deduced by the trace anomaly. The actions are made local by the introduction of auxiliary fields and boundary conditions are carefully imposed on them in order to select the different quantum states.

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Cited by 4 Pith papers

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    Conformally invariant corrections to the anomaly-induced effective action produce a one-parameter family of quantum hair for Schwarzschild black holes that modifies the near-horizon stress tensor in a static approximation.

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    Wald-like Noether charge of the DREH plus Polyakov-Liouville action yields the island generalized entropy and unitary Page curves for eternal and quasi-stationary evaporating black holes.

  4. Hawking radiation from a semi-classical Schwarzschild black hole

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    Quantum corrections to Schwarzschild black hole evaporation produce a maximum temperature, radiation cessation, an extremal remnant, and logarithmic entropy correction.