Local conformal symmetry and its fate at quantum level

TL;DR

This paper reviews local conformal symmetry in four-dimensional curved spacetime, discusses the conformal anomaly and effective actions, and explores how quantum effects break this symmetry but may still provide useful approximation methods.

Contribution

It provides a concise review of local conformal symmetry, anomaly phenomena, and their implications for quantum corrections in curved spacetime.

Findings

Conformal symmetry is broken at the quantum level due to anomalies.

Anomaly-induced effective actions can be useful for quantum correction calculations.

Despite breaking, conformal symmetry offers valuable approximation frameworks.

Abstract

The purpose of this article is to present a short review of local conformal symmetry in curved 4d space-time. Furthermore we discuss the conformal anomaly and anomaly-induced effective actions. Despite the conformal symmetry is always broken at quantum level, it may be a basis of useful and interesting approximations for investigating quantum corrections.