Thermality & Nonthermality of Radiation in Curved Spacetimes

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SUMMARY

The discussion centers on the thermal and non-thermal characteristics of Hawking-Unruh radiation in curved spacetimes. Authors differentiate between radiation that is labeled as non-thermal or approximately thermal based on its adherence to Planckian characteristics. Notably, some researchers argue that thermality can be defined by an Unruh-DeWitt detector reaching a Gibbs thermal state, independent of Planckian distribution. Key references include the papers from Physical Review D and the Journal of High Energy Physics, which provide insights into these concepts.

PREREQUISITES
  • Understanding of Hawking radiation and Unruh effect
  • Familiarity with Gibbs thermal states and statistical mechanics
  • Knowledge of curved spacetime and non-inertial frames
  • Basic grasp of Kubo-Martin-Schwinger condition
NEXT STEPS
  • Study the implications of Hawking radiation in curved spacetimes
  • Explore the Unruh effect and its relation to thermal states
  • Investigate the Kubo-Martin-Schwinger condition in quantum field theory
  • Review the referenced papers for deeper insights into thermality definitions
USEFUL FOR

Physicists, researchers in quantum field theory, and students studying the implications of thermality in curved spacetimes will benefit from this discussion.

bukhari
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I have been reading some material related to the thermal and non-thermal features of Hawking-Unruh radiation. It seems some authors label any radiation that emanates within curved spacetimes (including non-inertial frames) either as non-thermal or approximately thermal if it doesn't follow a typical Planckian character, which in other words means it is hard to associate a characteristic temperature with the radiation. https://doi.org/10.1103/PhysRevD.96.025023, https://doi.org/10.1007/JHEP07(2015)009. On the other hand, some associate thermality with the radiation even if it doesn't display Planckian feautures. In one of the papers, e.g., https://arxiv.org/abs/2101.11933 , authors say the thermality is when an Unruh-DeWitt detector asymptotically reaches a Gibbs thermal state (with connections to Kubo-Martin-Schwinger condition) without having anything to do with Planckian distribution. I am totally confused how to draw the line between thermality and non-thermality of acceleration/Hawking radiation.
 
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