Evolution of the Universe caused by the averaged potential of the quantum scalar field

Abstract

We study the quantum theory of the singular scalar field $\phi$ minimally coupled to gravity. In our approach, the scalar field is treated as a true quantum variable, while the scale factor $a(t)$ is supposed to be classical. We evaluate the quantum average of the self-interaction potential $V(\phi )$ and use it in the modified differential equation for the Hubble parameter.

4 pages, 1 figure

References in corpus (3)

• On single scalar field cosmology
• Quantum restoration of broken symmetries
• A class of exactly solvable quantum models of scalar gravity