Quantal Analysis of String-Inspired Lineal Gravity with Matter Fields

TL;DR

This paper demonstrates that string-inspired linear gravity models coupled with matter fields face quantization issues due to anomalies in energy-momentum tensor commutators, highlighting fundamental limitations in their quantum consistency.

Contribution

It reveals the impossibility of Dirac quantization for these models caused by anomalies, providing insight into their quantum behavior.

Findings

Energy-momentum tensor commutator anomalies prevent Dirac quantization.

String-inspired linear gravity with matter fields cannot be consistently quantized.

The study clarifies fundamental quantum limitations of these gravity models.

Abstract

We show that string-inspired lineal gravity interacting with matter fields cannot be Dirac-quantized owing to the well known anomaly in energy-momentum tensor commutators.