Mass sum rule of hadrons in the QCD instanton vacuum

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.

17 pages, 2 figures

References in corpus (3)

• Perturbative analysis of the gradient flow in non-abelian gauge theories
• Nucleon axial and pseudoscalar form factors from lattice QCD at the physical point
• How to observe the QCD instanton/sphaleron processes at hadron colliders?

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