IR Renormalisation of General Effective Actions and Hawking Flux in 2D Gravity Theories

Abstract

The infrared problem of the effective action in 2D is discussed in the framework of the Covariant Perturbation Theory. The divergences are regularised by a mass and the leading term is evaluated up to the third order of perturbation theory. A summation scheme is proposed which isolates the divergences from the finite part of the series and results in a single term. The latter turns out to be equivalent to the coupling to a certain classical external field. This suggests a renormalisation by factorisation.

25 pages

References in corpus (4)

• Dilaton Gravity in Two Dimensions
• Backreaction of the Hawking radiation
• Kinematics of evaporating black holes
• Effective Action and Hawking Flux from Covariant Perturbation Theory

Cited by in corpus (4)

• Islands in Non-Minimal Dilaton Gravity: Exploring Effective Theories for Black Hole Evaporation
• Unveiling horizons in quantum critical collapse
• Quantum Critical Collapse Abhors a Naked Singularity
• The Fate of Nucleated Black Holes in de Sitter Quantum Gravity