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

Understand

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.