Connecting anomaly and tunneling methods for Hawking effect through chirality

Abstract

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.

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

References in corpus (13)

• Tunnelling, Temperature and Taub-NUT Black Holes
• Quantum Tunneling Beyond Semiclassical Approximation
• Quantum Tunneling and Back Reaction
• Hawking Radiation from Charged Black Holes via Gauge and Gravitational Anomalies
• Hawking temperature from tunnelling formalism
• Hawking Radiation and Covariant Anomalies
• Hawking Radiation, Effective Actions and Covariant Boundary Conditions
• Hawking Radiation, Covariant Boundary Conditions and Vacuum States
• Hawking Radiation via Higher-spin Gauge Anomalies
• Hawking radiation, W-infinity algebra and trace anomalies
• Hawking Fluxes, $W_{\infty }$ Algebra and Anomalies
• Hawking Radiation and Quantum Anomaly in AdS2/CFT1 Correspondence
• Combining The Tunneling And Anomaly Phenomena In Deriving the Gravitational Anomaly

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