Mass sum rule of hadrons in the QCD instanton vacuum

TL;DR

This paper explores how the QCD instanton vacuum influences hadron masses, focusing on the nucleon and pion, by analyzing the trace anomaly and gluon condensates to understand their mass composition.

Contribution

It introduces a novel analysis linking the QCD instanton vacuum to hadron mass decomposition using Ji's invariant mass approach and trace anomaly considerations.

Findings

Gluon condensate relates to the QCD vacuum's compressibility.

The mass decomposition of nucleons and pions is clarified within the instanton vacuum framework.

The study connects topological features of the QCD vacuum to observable hadron properties.

Abstract

We briefly review the key aspect of the QCD instanton vacuum in relation to the quantum breaking of conformal symmetry and the trace anomaly. We use Ji$^\prime s$ invariant mass decomposition of the energy momentum tensor together with the trace anomaly, to discuss the mass budget of the nucleon and pion in the QCD instanton vacuum. A measure of the gluon condensate in the nucleon, is a measure of the compressibility of the QCD instanton vacuum as a dilute topological liquid.