One Loop Counterterms in 2D Dilaton-Maxwell Quantum Gravity

TL;DR

This paper investigates the one-loop divergences in 2D dilaton-Maxwell quantum gravity, showing that the theory's on-shell effective action contains only surface divergences and discussing its renormalizability.

Contribution

It completes previous one-loop calculations by including all surface divergences and identifies classes of renormalizable potentials in the theory.

Findings

On-shell effective action contains only surface divergences.

All surface divergent terms are accounted for in the calculation.

Classes of renormalizable dilaton and Maxwell potentials are identified.

Abstract

The renormalization structure of two-dimensional quantum gravity is investigated, in a covariant gauge. One-loop divergences of the effective action are calculated. All the surface divergent terms are taken into account, thus completing previous one-loop calculations of the theory. It is shown that the on-shell effective action contains only surface divergences. The off-shell renormalizability of the theory is discussed and classes of renormalizable dilaton and Maxwell potentials are found.