Microcanonical D-branes and Back Reaction

TL;DR

This paper compares emission rates from excited D-branes and black holes, showing that high-energy emissions follow a modified distribution proportional to the exponential of entropy change, leading to agreement between D-brane and field theory models.

Contribution

It introduces a back reaction correction to emission rates, demonstrating agreement between D-brane and black hole field theory calculations across the spectrum.

Findings

High-energy emission rates are proportional to exp(-ΔS_{BH})

Agreement between D-brane and field theory rates at leading order

Modified emission spectrum differs from canonical ensemble predictions

Abstract

We compare the emission rates from excited D-branes in the microcanonical ensemble with back reaction corrected emission rates from black holes in field theory. In both cases, the rates in the high energy tail of the spectrum differ markedly from what a canonical ensemble or free field theory approach would yield. Instead of being proportional to a Bose-Einstein distribution function, the rates in the high energy tail are proportional to $\exp (-\Delta S_{BH})$ where $\Delta S_{BH}$ is the difference in black hole entropies before and after emission. After including the new effects, we find agreement, at leading order, between the D-brane and field theory rates over the entire range of the spectrum.