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Noncommutative effects in the black hole evaporation in two dimensions

2006/07/31 by Hugo Garcia-Compean, Hugo García‐Compeán, Carlos Arturo Soto-Campos +1 · 12 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Event (particle physics) #Event horizon #Field (mathematics) #Geometry #Massless particle #Mathematical physics #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Noncommutative quantum field theory #Physics #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum electrodynamics #Quantum mechanics #Scalar (mathematics) #Scalar field #Theoretical physics #Unruh effect #hep-th

paper · pdf · doi:10.1103/physrevd.74.104028

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 74(10) (American Physical Society) · 33+1 pages, 3 eps figures, typos corrected, references added, figure 3 corrected, modifications in sections 4 and 6, version published in Phys. Rev. D

openalex publication_date 2006/11/27 · arxiv created 2006/12/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations