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Mass sum rule of hadrons in the QCD instanton vacuum

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arxiv 2102.08191 v2 pith:E2ATBPCA submitted 2021-02-16 hep-ph hep-th

classification hep-phhep-th
keywords instantonvacuummassanomalymeasurenucleontraceaspect
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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.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Experimental access to the gluonic origin of the proton mass

    hep-ph 2026-07 conditional novelty 6.0 of 10

    The scalar gluonic trace form factor of the proton can be reconstructed from DVCS quark GFFs, near-threshold J/ψ gluon GFFs, and the nucleon sigma-term form factor.

  2. Anomalies, Topology, and Hadron Structure in QCD

    hep-ph 2026-06 conditional novelty 3.0 of 10

    A review unifying the QCD axial and trace anomalies with vacuum topology, arguing that the proton spin puzzle and the U(1)_A problem are both controlled by topological screening encoded in the susceptibility slope χ′(0).

  3. Generic framework for non-perturbative QCD in light hadrons

    hep-ph 2025-01 conditional novelty 2.0 of 10

    The instanton liquid model, with instanton size, density, and quark mass as its main inputs, is presented as a generic framework for light-hadron vacuum condensates, matrix elements, and form factors.

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