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Scalar-tensor theories, trace anomalies and the QCD-frame
Nitti F., Piazza F.
Physical Review D 86 (2012) 122002 - http://hal.archives-ouvertes.fr/hal-00713183
Physique/Relativité Générale et Cosmologie Quantique
Physique/Physique des Hautes Energies - Phénoménologie
Physique/Physique des Hautes Energies - Théorie
Scalar-tensor theories, trace anomalies and the QCD-frame
F. Nitti1, F. Piazza1
1 :  APC - UMR 7164 - AstroParticule et Cosmologie
CNRS : UMR7164 – IN2P3 – Observatoire de Paris – Université Paris VII - Paris Diderot – CEA : DSM/IRFU
APC - UMR 7164, Université Paris Diderot, 10 rue Alice Domon et Léonie Duquet, case postale 7020, F-75205 Paris Cedex 13
We consider the quantum effects of matter fields in scalar-tensor theories and clarify the role of trace anomaly when switching between conformally related 'frames'. We exploit the property that the couplings between the scalar and the gauge fields are not frame-invariant and define a 'QCD-frame', where the scalar is not coupled to the gluons. This frame generalizes the 'Jordan frame' in the case of non-metric theories and is particularly convenient for gravitational phenomenology. Test bodies have trajectories that are as close as possible to geodesics with respect to such a metric and equivalence principle violations are directly proportional to the scalar coupling parameters written in this frame. We show how RG flow and decoupling work in metric and non-metric theories. RG-running commutes with the operation of switching between frames at different scales. When only matter loops are considered, our analysis confirms that metricity is stable under radiative corrections and shows that approximate metricity is natural in a technical sense.

Physical Review D (Phys. Rev. D)
Publisher American Physical Society
ISSN 1550-7998 (eISSN : 1550-2368)
Articles dans des revues avec comité de lecture

8 pages

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