Not sure if this is a diff geom. question or more appropriate for the strings forum or even relativity or cosmology.(adsbygoogle = window.adsbygoogle || []).push({});

I'm doing work involved in inflationary models for compact spaces and the two important quantities are the slow roll parameters [tex]\epsilon[/tex] and [tex]\eta[/tex]. Previously I've been using the definitions described by Quevado et al. in this paper (Equations 2.12 to 2.16) but after a discussion about such things with someone far more knowledgable about this whole area than me, I've been informed such algebraic expressions might not be true.

How would I go about deriving slow roll parameters for a potential surface (typically in complex fields)? I've checked the references of that paper but they just state the formula. Seems to be a normalised "rate of change" (ie epsilon) and "how sharp is the turning point in the potential?" (ie largest negative eigenvalue, eta) but often there's disagreement in how to compute things like the Hessian depending on the sign of the potential etc.

I just don't want to spend a month doing work on volumes of parameter space which lead to viable inflation only to find I'm using the wrong definition!

If this is more appropriate for one of the more physics based forums rather than this forum can a mod please move it

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# Slow roll parameters

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