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

The running of the non-minimal parameter ξ 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...

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Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 2015-06, Vol.75 (6), p.1-9, Article 262
Main Authors: Shapiro, Ilya L., de Morais Teixeira, Poliane, Wipf, Andreas
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics and Cosmology
Curvature
Curved
Elementary Particles
Hadrons
Heavy Ions
Mathematical analysis
Mathematical models
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Regular Article - Theoretical Physics
Running
Scalars
String Theory
Texts
Trajectories
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Summary:The running of the non-minimal parameter ξ 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.
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s10052-015-3488-4