Hilbert - Einstein Action from Induced Gravity coupled with Scalar Field

TL;DR

This paper investigates the quantum effects of a conformal factor coupled with matter fields, focusing on classical scalar matter, and explores phase transitions and induced gravitational constants.

Contribution

It introduces a calculation of the conformal factor's contribution to the scalar field's effective potential and examines phase transition possibilities in this context.

Findings

Conformal factor affects the effective potential of scalar fields.

First order phase transition possibility is analyzed.

Induced Newtonian and cosmological constants are calculated.

Abstract

Quantum theory of conformal factor coupled with matter fields is investigated. The more simple case of the purely classical scalar matter is considered. It is calculated the conformal factor contribution to the effective potential of scalar field. Then the possibility of the first order phase transition is explored and the induced values of Newtonian and cosmological constants are calculated.