Effective Action of Vacuum: Semiclassical Approach

TL;DR

This paper provides a pedagogical review of renormalization in curved spacetime and discusses recent advances in understanding quantum corrections to gravitational action within the semiclassical framework, highlighting its relevance to quantum gravity and string theory.

Contribution

It offers a comprehensive overview of renormalization techniques and quantum corrections in curved spacetime, emphasizing the semiclassical approach's significance for quantum gravity research.

Findings

Clarified the role of renormalization in curved spacetime.

Summarized recent results on quantum corrections to gravity.

Discussed implications for quantum gravity and string theory.

Abstract

We present brief, to great extent pedagogical review on renormalization in curved space-time and of some recent results on the derivation and better understanding of quantum corrections to the action of gravity. The paper is mainly devoted to the semiclassical approach, but we also discuss its importance for quantum gravity and string theory.