Mass sum rule of hadrons in the QCD instanton vacuum

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'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.

Automated summary

The article briefly reviews the quantum breaking of conformal symmetry and the trace anomaly in relation to QCD instanton vacuum. It uses Ji's invariant mass decomposition and trace anomaly to discuss the mass budget of nucleon and pion in the QCD instanton vacuum, and also examines the measurement of gluon condensate in the nucleon as a measure of the compressibility of the QCD instanton vacuum as a dilute topological liquid.