An effective light-front wave function whose five-dimensional piece comes from holographic QCD yields pion gravitational form factors A(Q^{2}) and D(Q^{2}) that match lattice results after parameter tuning.
Pion gravitational form factors in the QCD instanton vacuum II
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abstract
We revisit the hard QCD contributions to the pion gravitational form factors (GFFs), in terms of the twist-2,3 pion distribution amplitudes (DA), including novel semi-hard contributions from the instantons. The pion DAs are evaluated in the QCD instanton vacuum, and then properly evolved to higher resolution. The results are compared to our recent results from the QCD instanton vacuum, as well as Bethe-Salpeter calculations and recent lattice data. The interpolated hard and soft contributions to the pion D-form-factor, are used to derive the (gravitational) pressure and shear within the pion, with a clear delineation of their range.
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In QCD factorization, the pion trace anomaly cancels in A_π(Q²) but is important in D_π and dominates the TJJ contribution to the trace form factor, refining the hierarchy versus lattice data.
Gravitational form factors of pion and kaon are computed in BLFQ; A(Q^2) agrees with lattice QCD while D(Q^2) is enhanced at low Q^2 due to small-x and zero-mode sensitivity in the truncated model.
Light-front quark model calculations with two Gaussian wave functions yield transverse mechanical distributions for pseudoscalar charmonium and bottomonium, showing a nodal pressure and positive force.
A hadronic approach based on dispersion relations and meson dominance achieves a successful description of lattice QCD data for gravitational form factors of pions and nucleons.
citing papers explorer
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Gravitational form factors of the pion in light-front holographic QCD
An effective light-front wave function whose five-dimensional piece comes from holographic QCD yields pion gravitational form factors A(Q^{2}) and D(Q^{2}) that match lattice results after parameter tuning.
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The Pion Gravitational Form Factors and the Trace Anomaly in QCD Factorization
In QCD factorization, the pion trace anomaly cancels in A_π(Q²) but is important in D_π and dominates the TJJ contribution to the trace form factor, refining the hierarchy versus lattice data.
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Gravitational form factors of light mesons from Basis Light-Front Quantization
Gravitational form factors of pion and kaon are computed in BLFQ; A(Q^2) agrees with lattice QCD while D(Q^2) is enhanced at low Q^2 due to small-x and zero-mode sensitivity in the truncated model.
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Mechanical distribution of the pseudoscalar charmonium and bottomonium on the light-front
Light-front quark model calculations with two Gaussian wave functions yield transverse mechanical distributions for pseudoscalar charmonium and bottomonium, showing a nodal pressure and positive force.
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Particle seismology: mechanical and gravitational properties from parton-hadron duality
A hadronic approach based on dispersion relations and meson dominance achieves a successful description of lattice QCD data for gravitational form factors of pions and nucleons.