Some Issues related to Conformal Anomaly Induced Effective Action

TL;DR

This paper explores quantum anomaly effects in various gravitational settings, demonstrating how quantum effects can induce the creation of AdS and de Sitter universes and branes, linking holography and brane-world cosmology.

Contribution

It provides explicit examples of anomaly-induced quantum creation of AdS and de Sitter spaces and introduces a novel approach where quantum effects determine brane tension.

Findings

Quantum effects can induce the creation of d4 dilatonic AdS universes.

Quantum effects can generate d2 dilatonic AdS black holes.

Quantum-induced brane tension enables the formation of curved branes.

Abstract

Some issues related to quantum anomaly induced effects due to matter are considered. Explicit examples corresponding to quantum creation of d4 dilatonic AdS Universe and of d2 dilatonic AdS Black Hole (BH) are discussed. Motivated by holographic RG, in a similar approach, it is shown that, starting from a 5 dimensional AdS Universe, 4-dimensional de Sitter or AdS world is generated on the boundary of such Universe as a result of quantum effects. A 5-dimensional brane-world cosmological scenario is also considered, where the brane tension is not longer a free parameter, but its role is taken by quantum effects induced by the 4-dimensional conformal anomaly associated with conformal coupled matter. As a result, consistent quantum creations of De Sitter or AdS curved branes are possible.