Trace Anomaly and Non-Local Effective Action for 2D Conformally Invariant Scalar Interacting with Dilaton

TL;DR

This paper derives the trace anomaly and non-local effective action for a general 2D conformally invariant scalar-dilaton system, enabling advanced modeling of matter back reaction in 2D black hole physics.

Contribution

It provides the first derivation of the trace anomaly and non-local effective action for a broad class of 2D conformally invariant scalar-dilaton systems, including dilaton contributions.

Findings

Derived the trace anomaly for general 2D conformally invariant scalar-dilaton systems.

Obtained the non-local effective action induced by the conformal anomaly.

Enabled potential generalizations of CGHS-like models for black hole back reaction studies.

Abstract

Using the results of the calculation of the one-loop effective action (E. Elizalde et al , Phys.Rev. D49 (1994) 2852), we find the trace anomaly for most general conformally invariant 2D dilaton coupled scalar-dilaton system (the contribution of dilaton itself is included). The non-local effective action induced by conformal anomaly for such system is found. That opens new possibilities in generalizing of CGHS-like model for the study of back reaction of matter to 2D black holes.