Spectral regularisation: induced gravity and the onset of inflation

Journal Article · Wed Jan 01 00:00:00 EST 2014 · Journal of Cosmology and Astroparticle Physics

DOI:https://doi.org/10.1088/1475-7516/2014/01/035· OSTI ID:22369803

Kurkov, Max A. ^[1]; Sakellariadou, Mairi ^[2]

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1. Department of Physics, University of Naples Federico II, Monte Sant'Angelo, Cintia Street, Naples, 80126 (Italy)
2. Department of Physics, King's College London, University of London, Strand, London, WC2R 2LS (United Kingdom)

Using spectral regularisation, we compute the Weyl anomaly and express the anomaly generating functional of the quantum effective action through a collective scalar degree of freedom of all quantum vacuum fluctuations. Such a formulation allows us to describe induced gravity on an equal footing with the anomaly-induced effective action, in a self-consistent way. We then show that requiring stability of the cosmological constant under loop quantum corrections, Sakharov's induced gravity and Starobinsky's anomaly-induced inflation are either both present or both absent, depending on the particle content of the theory.

• OSTI ID: 22369803
• Journal Information: Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 01; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1475-7516
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTROPHYSICS
COSMOLOGY AND ASTRONOMY
ACTION INTEGRAL
CORRECTIONS
COSMOLOGICAL CONSTANT
DEGREES OF FREEDOM
GRAVITATION
SCALARS
STABILITY
COSMOLOGICAL INFLATION