Constructing effective action for gravitational field by effective potential method

TL;DR

This paper develops a method to construct a quantum effective action for gravitational fields using the effective potential approach, analyzing quantum fluctuations in flat and Schwarzschild spacetimes, and suggesting baby spacetime creation from vacuum.

Contribution

It introduces a novel application of the effective potential method to quantum gravity, linking quantum fluctuations to spacetime creation.

Findings

Quantum effective action can be constructed for gravitational fields.

Quantum fluctuations may lead to baby spacetime creation.

Analysis includes flat and Schwarzschild spacetimes.

Abstract

The aim of this paper is to construct a quantum effective action for gravitational fields by the effective potential method in quantum field theory. The minimum of the quantum effective action gives an equation of quantum fluctuations. We discuss the quantum fluctuation in the flat spacetime and in the Schwarzschild spacetime. It is shown that a baby spacetime may be created from a classical vacuum through a quantum fluctuation.