Connecting anomaly and tunneling methods for Hawking effect through chirality

Details Connecting anomaly and tunneling methods for Hawking effect through chirality Connecting anomaly and tunneling methods for Hawking effect through chirality

2008-12-02

arxiv.org/abs/0812.0497v3

Phys.Rev.D79:064024,2009

Physics

High Energy Physics

High Energy Physics - Theory

LaTex, 8 pages, no figures, reformulation of tunneling mechanism, to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.79.064024

The role of chirality is discussed in unifying the anomaly and the tunneling formalisms for deriving the Hawking effect. Using the chirality condition and starting from the familiar form of the trace anomaly, the chiral (gravitational) anomaly, manifested as a nonconservation of the stress tensor, near the horizon of a black hole, is derived. Solution of this equation yields the stress tensor whose asymptotic infinity limit gives the Hawking flux. Finally, use of the same chirality condition in the tunneling formalism gives the Hawking temperature that is compatible with the flux obtained by anomaly method.

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