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.

arXiv comment17 pages, 2 figures

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• $J/\psi$ near threshold in holographic QCD: A and D gravitational form factors
• Scale symmetry breaking, quantum anomalous energy and proton mass decomposition
• Pion gravitational form factors in the QCD instanton vacuum I
• Glue in hadrons at medium resolution and the QCD instanton vacuum
• Pion and Kaon Distribution Amplitudes up to twist-3 in the QCD Instanton Vacuum
• A Journey of Seeking Pressure and Forces in the Nucleon
• Photo-production of ${\eta }_{c,b}$ near Threshold
• Momentum Flow Mechanisms and Color-Lorentz Forces on Quarks in the Nucleon
• Tomography of the Rho meson in the QCD Instanton Vacuum: Transverse Momentum Dependent Parton Distribution Functions
• Tomography of Pions and Kaons in the QCD Vacuum: Transverse Momentum Dependent Parton Distribution Functions
• Nucleon matrix element of Weinberg's CP-odd gluon operator from the instanton vacuum