Time-reversal and parity conservation for gravitating quarks

TL;DR

This paper demonstrates that the complex mass term of a quark does not violate time-reversal or parity symmetries in gravitational interactions, despite the presence of an axial anomaly.

Contribution

It provides a theoretical analysis showing the invariance of quark mass terms under T and P symmetries in gravity, clarifying misconceptions about anomalies.

Findings

Complex quark mass terms do not violate T or P in gravity.

Axial anomaly does not lead to T or P violation in this context.

Theoretical clarification of symmetry properties in gravitational interactions.

Abstract

The complex mass term of a quark does not violate time-reversal or parity in gravitational interactions, in spite of an axial anomaly.