General Structure of Conformal Anomaly and 4 Dimensional Photon-Dilaton Gravity

TL;DR

This paper analyzes the structure of conformal anomalies in 4D photon-dilaton gravity, providing a new formal proof of their invariance and presenting explicit anomaly results using heat-kernel and Fujikawa methods.

Contribution

It offers a new formal proof of conformal anomaly invariance in classically conformal theories and presents explicit anomaly results in 4D photon-dilaton gravity.

Findings

Conformal anomaly is invariant under conformal transformations.

Explicit form of the conformal anomaly in 4D photon-dilaton gravity.

Analysis using heat-kernel regularization and Fujikawa's method.

Abstract

The general structure of the conformal anomaly and the dilaton's effect to it are analysed. First we give a new formal proof of the statement that the conformal anomaly, in the theory which is conformal invariant at the classical level, is conformal invariant. The heat-kernel regularization and Fujikawa's method are taken for the analysis. We present a new explicit result of the conformal anomaly in 4 dimensional photon-dilaton gravity. This result is examined from the point of the general structure.