The small and large D limit of Parikh-Wilczek tunneling model for Hawking radiation

Abstract

In this note, we study both the small and large dimension $D$ limit of the tunneling model of Hwaking radiation proposed by Parikh and Wilczek\cite{Parikh:1999mf}. We confirm that the result $\Gamma \sim e^{\Delta S}$ is still valid for arbitrary $D>3$. The sensible large $D$ limit is given by $\sqrt{D}\ll r_0$ in order to have nonzero radiation. On the other hand, the sensible small $D$ limit is given by taking $D=3+\epsilon$ as a continuous parameter. We also explicitly show the leading order correction to the thermal radiation and discuss its connection to the two-dimensional dilaton gravity.

7 pages, updated version submitted to CQG

References in corpus (5)

• Quantum Tunneling and Back Reaction
• The large D limit of General Relativity
• High and Low Dimensions in The Black Hole Negative Mode
• The large D limit of dimensionally continued gravity
• Three dimensional noncommutative bosonization

Cited by in corpus (2)

• The Large D Limit of Einstein's Equations
• Horizon Tunneling Revisited: The Case of Higher Dimensional Black Holes