Graviton: Energy, Impulse, Frequency & Quantum

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    Graviton
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Discussion Overview

The discussion revolves around the concept of the graviton, its relationship to classical general relativity (GR), and its implications in quantum gravity theories. Participants explore the nature of gravitons, their properties, and the equations that may describe them, including comparisons to photons.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • Some participants question whether the graviton is an analogy or an exact object within classical GR frameworks.
  • One participant asserts that gravitons do not arise from classical GR, stating that GR is not quantized.
  • There is inquiry into the definition of a graviton and the theories in which it appears, along with requests for useful formulas relating energy and frequency.
  • Another participant discusses linearized GR and the Fierz-Pauli theory, suggesting that the graviton is massless with spin 2 in this context.
  • String theory is mentioned as a UV-complete theory of quantum gravity that includes gravitons, which at low energies reproduces linearized GR.
  • One participant raises the complexity of defining "the energy of a graviton" due to the equivalence principle.
  • There is a request for equations analogous to E=h*nu for photons in relation to gravitons.
  • Some participants clarify that the graviton is a hypothetical particle in certain quantum gravity theories, with naive quantization of GR leading to ill-defined results in the UV regime.
  • Others note that different theories, such as loop quantum gravity (LQG), do not consider gravitons as fundamental but may allow them to emerge in specific limits.
  • There is a discussion about the limitations of introducing gravitons based solely on wave mechanics and the necessity of understanding their properties through tensor modes in GR.
  • One participant mentions the prevalence of graviton references in literature, indicating their use in various processes.
  • Another participant emphasizes that wave mechanics pertains to quantum mechanics, while the graviton concept is rooted in quantum field theory (QFT).

Areas of Agreement / Disagreement

Participants express differing views on the nature and definition of gravitons, with no consensus reached on their properties or the theories that best describe them. The discussion remains unresolved regarding the relationship between gravitons and classical GR.

Contextual Notes

Limitations include the dependence on specific theoretical frameworks, the unresolved nature of graviton properties, and the varying interpretations of quantum gravity theories.

mersecske
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Graviton is an analogy or an exact object in he framework of classical GR?

What bout the energy and impulse of a graviton with frequency nu? What is the quantum?
 
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Gravitons do not arise from classical GR. GR is not quantized.
 
So what is a graviton? And in which kind of theory? And what is the most useful formulas, like energy as a function of frequency?
 
The best thing we can do up to now, is to linearize GR (which gives a theory called "Fierz-Pauli") and try to quantize it. The particle associated to this quantization is called the "graviton", and should be massless and have spin 2.

So the theory a graviton in appears is in this case "linearized GR".

However, string theory claims to be a UV-complete (so beyond the linear level!) theory of quantum gravity, and also has a graviton in its spectrum. At low energies, so at the linear level, it reproduces linearized GR.

What "the energy of a graviton" would be is a tricky question due to the equivalence principle; I would have to think about that.
 
Are there any useful equations for gravitons like E=h*nu for photons?
 
The graviton is a hypothetical particle in certain theories about quantum gravity.

Naive (perturbative) quantization of GR leads to a theory (unfortunately ill-defined in the UV) which is based on gravitons.
String theory leads to low-energy effective theories (SUGRA) which contain both spin-2 gravitons and their SUSY-partner, the spin-3/2 gravitino.
Other theories regarding quantum gravity, e.g. LQG, use very different concepts, and gravitons are not their basic building blocks but do emerge only in a certain semiclassical limit.
 
It is not possible to introduce graviton simply based on wave mechanics?
 
No, because you wouldn't know the properties of the graviton. According to GR, gravity is propagated by tensor modes.
 
But I have read lots of papers in which graviton are mentioned,
like 1-2 graviton is emitted in the process for example.
 
  • #10
Wave mechanics is a concept of QM, but the graviton is a concept based on (second quantized) QFT. There is no photon in Maxwells theory.
 

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