Back reaction of vacuum and the renormalization group flow from the conformal fixed point

TL;DR

This paper investigates how quantum effects, specifically the conformal trace anomaly, influence the renormalization group flow from a conformal fixed point in a GUT-like model with scalar fields, leading to weak supersymmetry violation.

Contribution

It introduces a detailed analysis of the impact of the conformal trace anomaly on RG flow and supersymmetry breaking in a GUT-like model near a conformal fixed point.

Findings

Quantum effects induce RG flow from the conformal point.

Weak supersymmetry violation occurs at lower energies.

Conformal trace anomaly significantly influences the model's behavior.

Abstract

We consider the GUT-like model with two scalar fields which has infinitesimal deviation from the conformal invariant fixed point at high energy region. In this case the dominating quantum effect is the conformal trace anomaly and the interaction between the anomaly-generated propagating conformal factor of the metric and the usual dimensional scalar field. This interaction leads to the renormalization group flow from the conformal point. In the supersymmetric conformal invariant model such an effect produces a very weak violation of sypersymmetry at lower energies.