I have a very simple question:

"Is it possible to talk about Amplitudes and Feynman diagrams assuming a different background than the usual Minkowski one? Let's assume for example that the background is the Schwarzschild one. Is it possible to define an S-matrix for a theory of a scalar particles interacting through gravitons?"

  • $\begingroup$ More on QFT in curved space. $\endgroup$ – Qmechanic Dec 11 '18 at 18:11
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    $\begingroup$ The answer is completely different depending on whether you want the gravitational field to also be quantized or not. $\endgroup$ – Javier Dec 11 '18 at 18:16
  • $\begingroup$ I am assuming that the background is the Schwarzschild one, on top of which I am defining a theory of a scalar particle/$\phi$ interacting with gravitons/$h_{\mu \nu}$: in this sense only fluctuations are quantized. $\endgroup$ – Andrea.Phys Dec 11 '18 at 18:20

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