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arXiv · 1311.6979

Spectral Regularisation: Induced Gravity and the Onset of Inflation

Max A. Kurkov·Mairi Sakellariadou
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Abstract

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.

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Max A. Kurkov, Mairi Sakellariadou. 2014-01-23. Spectral Regularisation: Induced Gravity and the Onset of Inflation. https://doi.org/10.1088/1475-7516%2F2014%2F01%2F035

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