Double Copy Root of Hawking Thermality
John Joseph M. Carrasco, Yaxi Chen
Abstract
The Hawking radiation spectrum from a collapsing null shell can be derived via the double copy of a simpler gauge theory calculation. Analyzing the non-Abelian Yang-Mills root of this process, we demonstrate that the radiation spectrum is thermal in the color charge eigenvalue λ, not energy. Considering the SU(N_{c}) gauge theory in the large N_{c} limit, we find the differential spectrum dN/dλ is a product of the gravitationally familiar Planck-like factor and the color phase space density, modeled here as the Wigner semicircle from random matrix theory. This reveals that apparent energy thermality in gravity is the direct dual of charge thermality in its underlying non-abelian gauge theory.
Topics & Concepts
PhysicsGauge theoryGauge (firearms)Hawking radiationSpectrum (functional analysis)Charge (physics)Random matrixColor chargeQuantum mechanicsPhase (matter)Eigenvalues and eigenvectorsMathematical physicsNull (SQL)Shell (structure)Phase spaceSpace (punctuation)QuantumSquare rootQuantum electrodynamicsMatrix (chemical analysis)Quantum gravityRadiationBraneYang–Mills theoryLight cone gaugeQuantum Electrodynamics and Casimir EffectBlack Holes and Theoretical PhysicsQuantum and Classical Electrodynamics