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2016

Quantum Cosmology and the Evolution of Inflationary Spectra

Kamenshchik, Alexander Y., Tronconi, Alessandro, Venturi, Giovanni

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We illustrate how it is possible to calculate the quantum gravitational effects on the spectra of primordial scalar/tensor perturbations starting from the canonical, Wheeler-De Witt, approach to quantum cosmology.

The composite matter-gravity system is analysed through a Born-Oppenheimer approach in which gravitation is associated with the heavy degrees of freedom and matter (here represented by a scalar field) with the light ones.
Once the independent degrees of freedom are identified the system is canonically quantised.
The differential equation governing the dynamics of the primordial spectra with its quantum-gravitational corrections is then obtained and is applied to diverse inflationary evolutions.

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