Interaction of Low - Energy Induced Gravity with Quantized Matter and Phase Transition Induced by Curvature

TL;DR

This paper explores how quantum effects at high energies influence gravity and matter interactions, leading to a phase transition near a fixed point and affecting fundamental constants.

Contribution

It analyzes the interaction of the conformal factor with scalar fields and estimates the running of the nonminimal coupling from conformal to minimal coupling.

Findings

Running of nonminimal coupling from 1/6 to 0

Possible curvature-induced first order phase transition

Calculated induced Newtonian and cosmological constants

Abstract

At high energy scale the only quantum effect of any asymptotic free and asymptotically conformal invariant GUT is the trace anomaly of the energy-momentum tensor. Anomaly generates the new degree of freedom, that is propagating conformal factor. At lower energies conformal factor starts to interact with scalar field because of the violation of conformal invariance. We estimate the effect of such an interaction and find the running of the nonminimal coupling from conformal value $\frac{1}{6}$ to $0$. Then we discuss the possibility of the first order phase transition induced by curvature in a region close to the stable fixed point and calculate the induced values of Newtonian and cosmological constants.