Graviton Scattering: Compute Amplitudes w/Einstein Gravity

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SUMMARY

Computing scattering amplitudes for graviton interactions within the framework of Einstein gravity as an effective field theory at low energies is feasible. The discussion confirms that while gravitons remain undetected, their interactions can be analyzed through the refraction of gravitational waves. A low-energy condition is essential due to the nonlinearity of General Relativity (GR) at higher energies, which disrupts the wave description. Effective field theory provides a valid approximation for quantum gravity at long distances, making graviton scattering a common topic in graduate-level coursework.

PREREQUISITES
  • Understanding of General Relativity (GR)
  • Basic knowledge of quantum field theory (QFT)
  • Familiarity with scattering amplitudes
  • Concept of effective field theories
NEXT STEPS
  • Study the effective field theory of gravitation in detail
  • Explore quantum gravity and its implications on particle physics
  • Review scattering amplitude calculations in quantum field theory
  • Read the review articles by Donaghue and Burgess for deeper insights
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Physicists, graduate students in theoretical physics, and researchers interested in quantum gravity and graviton interactions will benefit from this discussion.

PedroBittar
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Is it possible to compute scattering amplitudes of a graviton interaction taking Einstein gravity as an effective field theory at low energies?
I did not study qft the proper way yet, so any clarifications on the subject would be welcome.
 
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I don't know much about scattering, but quantum gravity (and gravitons) does not seem to cooperate with GR. So probably not.
 
So far my limited knowledge on the topic, until now, we were only able to detect gravitational waves (and this was not an easy task) but unable to isolate a graviton. The graviton is a undetected predicted particle.
 
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Yes, this should be possible. We would refer to it as refraction of the gravitational waves, just as we do with light whenever individual photons are not relevant. To translate to "graviton density", simply divide the energy flow of the waves by ωħc.
A low-energy condition is necessary not so much because of quantum effects, but because at higher energies the nonlinearity of GR itself makes the wave description fall apart.
 
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The answer is yes, quantum gravity is well approximated at long distances by an effective field theory of gravitation. A particular diagram or class of diagrams (like graviton scattering) are readily computable and are often homework problems given to grad students in this field.

See some of the famous review articles by Donaghue or Burgess:
like eg:
https://arxiv.org/abs/gr-qc/0311082v1
 
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Haelfix said:
The answer is yes, quantum gravity is well approximated at long distances by an effective field theory of gravitation. A particular diagram or class of diagrams (like graviton scattering) are readily computable and are often homework problems given to grad students in this field.

See some of the famous review articles by Donaghue or Burgess:
like eg:
https://arxiv.org/abs/gr-qc/0311082v1
Thank you!
 

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