Inflationary cosmology from quantum conformal gravity

The European Physical Journal C

Fabio Scardigli¹  Petr Jizba²  Hagen Kleinert³ 

[1] Department of Mathematics, College of Engineering, American University of the Middle East, P.O. Box 220, 15453, Dasman, Kuwait;Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133, Milan, Italy;FNSPE, Czech Technical University in Prague, Břehová 7, 115 19, Praha 1, Czech Republic;ITP, Freie Universität Berlin, Arnimallee 14, 14195, Berlin, Germany;ITP, Freie Universität Berlin, Arnimallee 14, 14195, Berlin, Germany;

关键词: Scalar Field;    Conformal Symmetry;    Vacuum Expectation Value;    Break Phase;    Einstein Frame;   

DOI  :  10.1140/epjc/s10052-015-3441-6

来源: Springer

【 摘 要 】

We analyze the functional integral for quantum conformal gravity and show that, with the help of a Hubbard–Stratonovich transformation, the action can be broken into a local quadratic-curvature theory coupled to a scalar field. A one-loop effective-action calculation reveals that strong fluctuations of the metric field are capable of spontaneously generating a dimensionally transmuted parameter which, in the weak-field sector of the broken phase, induces a Starobinsky-type f(R)-model with a gravi-cosmological constant. A resulting non-trivial relation between Starobinsky’s parameter and the gravi-cosmological constant is highlighted and implications for cosmic inflation are briefly discussed and compared with the recent PLANCK and BICEP2 data.

【 授权许可】

CC BY