Phase Transition in Conformally Induced Gravity with Torsion

TL;DR

This paper investigates the quantum effects in conformally induced gravity with torsion, revealing a phase transition suitable for inflation in de Sitter space through one-loop effective potential analysis.

Contribution

It introduces a novel analysis of quantum fluctuations in conformal gravity with torsion, demonstrating a phase transition relevant for inflationary cosmology.

Findings

Identifies a phase transition in the effective potential for conformal gravity with torsion.

Shows the potential for an inflationary phase in de Sitter space.

Analyzes the slow-roll dynamics of the dilaton field.

Abstract

We have considered the quantum behavior of a conformally induced gravity in the minimal Riemann-Cartan space. The regularized one-loop effective potential considering the quantum fluctuations of the dilaton and the torsion fields in the Coleman-Weinberg sector gives a sensible phase transition for an inflationary phase in De Sitter space. For this effective potential, we have analyzed the semi-classical equation of motion of the dilaton field in the slow-rolling regime.