A Demonstration of Hadron Mass Origin from QCD Trace Anomaly

Abstract

Quantum chromodynamics (QCD) claims that the major source of the nucleon invariant mass is not the Higgs mechanism but the trace anomaly in QCD energy momentum tensor. Although experimental and theoretical results support such conclusion, a direct demonstration is still absent. We present the first Lattice QCD calculation of the quark and gluon trace anomaly contributions to the hadron masses, using the overlap fermion on the 2+1 flavor dynamical Domain wall quark ensemble at $m_{\pi }=340$ MeV and lattice spacing $a=$0.1105 fm. The result shows that the gluon trace anomaly contributes to most of the nucleon mass, and the contribution in the pion state is smaller than that in others nearly by a factor $\sim$10 since the gluon trace anomaly density inside pion is different from the other hadrons and the magnitude is much smaller. The gluon trace anomaly coefficient $\beta /g^3=-0.056(6)$ we obtained is consistent with its regularization independent leading order value $(-11+\frac{2N_f}{3})/(4\pi {)}^2$ perfectly.

arXiv comment9 pages, 5 figures

References in corpus (23)

• Exactly massless quarks on the lattice
• A construction of lattice chiral gauge theories
• Electron-Ion Collider in China
• Domain wall QCD with physical quark masses
• Partially Quenched Gauge Theories and a Application to Staggered Fermions
• Renormalization and Running of Quark Mass and Field in the Regularization Invariant and MS-bar Schemes at Three and Four Loops
• A percent-level determination of the nucleon axial coupling from Quantum Chromodynamics
• Proton Mass Decomposition from the QCD Energy Momentum Tensor
• BREAKUP OF HADRON MASSES AND ENERGY-MOMENTUM TENSOR OF QCD
• A QCD Calculation of the Interaction of Quarkonium with Nuclei
• $\pi$N and strangeness sigma terms at the physical point with chiral fermions
• Quark and gluon contributions to the QCD trace anomaly
• Direct determinations of the nucleon and pion $\sigma$ terms at nearly physical quark masses
• QCD Analysis of Near-Threshold Photon-Proton Production of Heavy Quarkonium
• Overlap Valence on 2+1 Flavor Domain Wall Fermion Configurations with Deflation and Low-mode Substitution
• Solutions of the Ginsparg-Wilson Relation
• Multi-mass solvers for lattice QCD on GPUs
• Nonperturbatively-renormalized glue momentum fraction at physical pion mass from Lattice QCD
• A QCD analysis of near-threshold quarkonium leptoproduction at large photon virtualities
• Lattice QCD calculation of the pion charge radius using a model-independent method
• Heavy and Light Quarks with Lattice Chiral Fermions
• Trace anomaly contribution to hydrogen atom mass
• Gluons in charmoniumlike states

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• A note on quark and gluon energy-momentum tensors
• The neutron and proton mass radii from the vector meson photoproduction data on the deuterium target
• Energy-momentum tensor in QCD: nucleon mass decomposition and mechanical equilibrium