Noncommutative Effects in the Black Hole Evaporation in Two Dimensions

TL;DR

This paper explores how noncommutative field theory influences scalar field dynamics near a black hole horizon in a two-dimensional model, affecting particle fluxes and divergences without altering the thermal interpretation of Hawking radiation.

Contribution

It demonstrates that noncommutativity impacts flux and divergences in black hole evaporation models without changing the thermal flux interpretation.

Findings

Noncommutativity affects the flux of outgoing particles.

It influences the UV/IR divergences in the model.

The thermal nature of fluxes remains destroyed by noncommutative interactions.

Abstract

We discuss some possible implications of a two-dimensional toy model for black hole evaporation in noncommutative field theory. While the noncommutativity we consider does not affect gravity, it can play an important role in the dynamics of massless and Hermitian scalar fields in the event horizon of a Schwarzschild black hole. We find that noncommutativity will affect the flux of outgoing particles and the nature of its UV/IR divergences. Moreover, we show that the noncommutative interaction does not affect Leahy's and Unruh's interpretation of thermal ingoing and outgoing fluxes in the black hole evaporation process. Thus, the noncommutative interaction still destroys the thermal nature of fluxes. In the process, some nonlocal implications of the noncommutativity are discussed.