- Open Access
Double Copy Root of Hawking Thermality
Phys. Rev. Lett. 136, 081604 – Published 27 February, 2026
DOI: https://doi.org/10.1103/6gfs-kxbt
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 , not energy. Considering the gauge theory in the large limit, we find the differential spectrum 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.
Physics Subject Headings (PhySH)
See Also
Hawking Radiation from the Double Copy
Article Text
References (19)
- M. J. Duff, Quantum tree graphs and the Schwarzschild solution, Phys. Rev. D 7, 2317 (1973).
- R. Monteiro, D. O’Connell, and C. D. White, Black holes and the double copy, J. High Energy Phys. 12 (2014) 056.
- A. Luna, R. Monteiro, D. O’Connell, and C. D. White, The classical double copy for Taub–NUT spacetime, Phys. Lett. B 750, 272 (2015).
- C. D. White, The Classical Double Copy (World Scientific, Singapore, 2024).
- Z. Bern, J. J. M. Carrasco, and H. Johansson, New relations for gauge-theory amplitudes, Phys. Rev. D 78, 085011 (2008).
- Z. Bern, J. J. M. Carrasco, and H. Johansson, Perturbative quantum gravity as a double copy of gauge theory, Phys. Rev. Lett. 105, 061602 (2010).
- Z. Bern, J. J. Carrasco, M. Chiodaroli, H. Johansson, and R. Roiban, The duality between color and kinematics and its applications, J. Phys. A 57, 333002 (2024).
- T. Adamo, J. J. M. Carrasco, M. Carrillo-González, M. Chiodaroli, H. Elvang, H. Johansson, D. O’Connell, R. Roiban, and O. Schlotterer, Snowmass white paper: The double copy and its applications, in Snowmass 2021 (Snowmass 2021, Batavia, IL, USA, 2022) [arXiv:2204.06547].
- Z. Bern and A. K. Grant, Perturbative gravity from QCD amplitudes, Phys. Lett. B 457, 23 (1999).
- J. J. M. Carrasco and S. Zekioglu, The double copy effective action: A quantum (chromodynamics) approach to space-time, arXiv:2511.01799.
- R. Aoude, D. O’Connell, and M. Sergola, Amplitudes for Hawking radiation, arXiv:2412.05267.
- S. W. Hawking, Particle creation by black holes, Commun. Math. Phys. 43, 199 (1975); 46, 206(E) (1976).
The eikonal limit describes the dynamics of particles whose trajectories are nearly lightlike and forward-scattered. These are precisely the kinematics of the modes that just skim the forming event horizon to become the observed Hawking radiation.
A crucial feature of the color-kinematics duality [5] is that the kinematic algebra is universal, holding for any number of external particles. The color algebra of any specific, finite-rank gauge group is not; for any finite , certain color factors vanish for specific channels [e.g., the four-point singlet in SU(2)]. For the duality to hold universally, the kinematic algebra cannot be restricted to any particular . Instead, it is dual to a generic algebraic structure satisfying only antisymmetry and the Jacobi identity. The large limit of provides one ideal realization of such a structure. Our motivation for this limit should not be taken as any desire to access the planar sector or to simplify color topology. Rather, it is to treat the color space as a stand-in for this generic algebra, ensuring a dense spectrum of nonvanishing color channels.
- D. Anninos and B. Mühlmann, Notes on matrix models (matrix musings), J. Stat. Mech. (2008) 083109.
- E. P. Wigner, Characteristic vectors of bordered matrices with infinite dimensions I, in The Collected Works of Eugene Paul Wigner: Part A: The Scientific Papers (Springer, New York, 1993), pp. 524–540.
The Wigner semicircle nicely reflects the universal eigenvalue density of random Hermitian matrices with symmetry and captures the expected large- distribution of color eigenvalues independent of microscopic details.
- R. Aoude, D. O’Connell, M. Sergola, and C. D. White, Hawking radiation meets the double copy, arXiv:2510.25866.
- A. Ilderton, W. Lindved, and K. Rajeev, preceding Letter, Hawking radiation from the double copy, Phys. Rev. Lett. 136, 081603 (2026).