Gravitons and QuantumField[]

[nmoynihan]

I often use FeynRule, together with e.g. QuantumField[GaugeField, {[Mu]}, {a}][p1] to derive some interesting quantity from a Lagrangian, say a gluon three-particle vertex.

Is there any way I can do this with a spin-2 graviton, i.e. replace 'GaugeField' with Graviton somehow?

Many thanks,
Nathan

[vsht]

I don't think so, as FeynRule can deal only with fields carrying a single Lorentz index. FeynRules (the package)
can derive Feynman rules for gravity, though.

[huansouza]

Hey Nathan,

I don't know if this is of your interest, but I and some collaborators have been working with linearized gravity as an effective field theory and we have used FeynRules + FeynArts + FeynCalc to compute the diagrams. If this is your case, you can take a look at 2105.12732 and the Mathematica notebook and the models file you can find here: https://github.com/lehum/einstein-qed-2 .

Also, if you are interested in two-loop computations, we have used TARCER to compute them in the paper 2105.12577.

Best wishes,

Huan.