Quantum corrections to the Hawking radiation spectrum

TL;DR

This paper demonstrates that, contrary to previous claims, the Hawking radiation spectrum remains discrete when considering loop quantum gravity's area spectrum, with a cutoff frequency for black hole radiation.

Contribution

It shows that the Hawking radiation spectrum is discrete under loop quantum gravity's area quantization, correcting prior arguments about its continuity.

Findings

Hawking spectrum is discrete with loop quantum gravity quantization.

Spectrum is truncated at a specific cutoff frequency.

Contradicts previous claims of a continuous spectrum.

Abstract

In 1995, Bekenstein and Mukhanov suggested that the Hawking radiation spectrum was discrete if the area spectrum was quantized in such a way that the allowed areas were integer multiples of a single unit area. However, in 1996, Barreira, Carfora, and Rovelli argued that the Hawking radiation spectrum was continuous if the area spectrum was quantized with an infinite number of unit areas, as predicted by loop quantum gravity, rather than quantized with the single unit area considered by Bekenstein and Mukhanov. In this paper, contrary to what Barreira, Carfora, and Rovelli argued, we show that the Hawking radiation spectrum is still discrete when the area spectrum is quantized as loop quantum gravity predicts. In particular, we show that, for a black hole of a given temperature, the Hawking radiation spectrum is truncated at frequencies below a certain frequency.