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Double Copy Root of Hawking Thermality.

John Joseph M Carrasco1, Yaxi Chen1

  • 1Northwestern University, Northwestern University, Amplitudes and Insights Group, Department of Physics and Astronomy, Evanston, Illinois 60208, USA and Center for Interdisciplinary Exploration and Research in Astrophysics (CIERA), 1800 Sherman Ave, Evanston, Illinois 60201, USA.

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Summary
This summary is machine-generated.

Hawking radiation from collapsing shells is thermal in color charge, not energy. This duality arises from non-Abelian gauge theory, linking gravity

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Area of Science:

  • Theoretical Physics
  • Quantum Gravity
  • High-Energy Physics

Background:

  • Hawking radiation describes particle emission from black holes.
  • The double copy prescription relates gravity to gauge theories.
  • Null shell collapse offers a simplified model for Hawking radiation studies.

Purpose of the Study:

  • To derive the Hawking radiation spectrum from a collapsing null shell.
  • To analyze the thermal properties of the radiation in the context of gauge theory.
  • To explore the duality between gravitational and gauge theory descriptions.

Main Methods:

  • Utilizing the double copy method to relate gauge theory to gravity.
  • Analyzing the non-Abelian Yang-Mills theory underlying the process.
  • Considering the SU(N_{c}) gauge theory in the large N_{c} limit.
  • Modeling the color phase space density using random matrix theory (Wigner semicircle).

Main Results:

  • The Hawking radiation spectrum is demonstrated to be thermal in the color charge eigenvalue (λ), not energy.
  • The differential spectrum (dN/dλ) is a product of a Planck-like factor and the color phase space density.
  • Apparent energy thermality in gravity is shown to be dual to charge thermality in non-Abelian gauge theory.

Conclusions:

  • The study reveals a fundamental connection between thermal properties in gravity and gauge theory.
  • The non-Abelian Yang-Mills theory provides a direct explanation for the thermal spectrum of Hawking radiation.
  • This work deepens the understanding of the double copy and its implications for quantum gravity.