https://doi.org/10.1140/epjc/s10052-015-3488-4
Regular Article - Theoretical Physics
On the functional renormalization group for the scalar field on curved background with non-minimal interaction
1
Département de Physique Théorique and Center for Astroparticle Physics, Université de Genève, 24 quai Ansermet, 1211, Geneva 4, Switzerland
2
Departamento de Física, ICE, Universidade Federal de Juiz de Fora, Campus Universitário, Juiz de Fora, MG, 36036-330, Brazil
3
Tomsk State Pedagogical University, Tomsk, Russia
4
Tomsk State University, Tomsk, Russia
5
SISSA, Via Bonomea, 265, 34136, Trieste, Italy
6
Theoretisch-Physikalisches-Institut, Friedrich-Schiller-Universität, Max-Wien-Platz 1, 07743, Jena, Germany
* e-mail: shapiro@fisica.ufjf.br
Received:
10
May
2015
Accepted:
28
May
2015
Published online:
16
June
2015
The running of the non-minimal parameter 
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.
© The Author(s), 2015
