We calculate the matrix elements of the gluonic contributions to the energy-momentum tensor for a pion of mass 600<M_π<1100 MeV in quenched lattice QCD. We find that gluons contribute (37±8±12)% of the pion's light-cone momentum. The bare matrix elements corresponding to the trace anomaly contribution to the pion mass are also obtained. The discretizations of the energy-momentum tensor we use have other promising applications, ranging from calculating the origin of hadron spin to QCD thermodynamics.
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Meyer et al. (2008) studied this question.
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