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arXiv · 1503.00874

On the functional renormalization group for the scalar field on curved background with non-minimal interaction

Ilya L. Shapiro·Poliane M. Teixeira·Andreas Wipf
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Abstract

The running of the non-minimal parameter (\xi) of the interaction of the real scalar field and scalar curvature is explored within the non-perturbative setting of the functional renormalization group (RG). We establish the RG flow in curved space-time in the scalar field sector, in particular derive an equation for the non-minimal parameter. The RG trajectory is numerically explored for different sets of initial data.

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Ilya L. Shapiro, Poliane M. Teixeira, Andreas Wipf. 2015-03-03. On the functional renormalization group for the scalar field on curved background with non-minimal interaction. https://arxiv.org/abs/1503.00874

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