English

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

High Energy Physics - Theory 2015-05-08 v3

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.

Keywords

Cite

@article{arxiv.1503.00874,
  title  = {On the functional renormalization group for the scalar field on curved background with non-minimal interaction},
  author = {Ilya L. Shapiro and Poliane M. Teixeira and Andreas Wipf},
  journal= {arXiv preprint arXiv:1503.00874},
  year   = {2015}
}

Comments

LaTeX, 17 pages, 4 Figures