Minimal coupling non minimal coupling

[kalish]

Hello, I am searching for a text that talks about various non minimal coupling, why and how we introduced it. I know we can use it in inflation, modified gravity, or low energy quantum gravity, but I don't know how all these different topics lead to the same formalism, or almost for example with the scalar field. I don't really understand the motivation of coupling, is it because of autointeraction of field or something like that? I don't find a lot of good online text about.

 

[atyy]

Try http://arxiv.org/abs/0805.1726v4 and http://arxiv.org/abs/1002.4928.

Minimal coupling also occurs in particle physics where it is known (misleadingly) as the "gauge principle". There it applies not to the coupling between gravity and matter, but eg. between electromagnetic field and electrons. Minimal coupling is consistent with gauge redundancy, but I believe that non-minimal coupling can also be consistent with gauge redundancy. I think, but am not sure, that non-minimal coupling can be generated by renormalization http://arxiv.org/abs/0911.4579

 

[kalish]

Thank you, I wonder if the word renormalization has always the same meaning. I mean in the paper you talk about it is the way I know it from QFT, and I don't understand what you mean by

that non-minimal coupling can be generated by renormalization

.
I also read that only the non minimal coupling with a parameter equal to 1/6 was renormalizable, I don't know if it is the same meaning.

I don't know anything about gauge redundancy either.