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2022

The parton distribution function in a pion with Minkowskian dynamics

de Paula, W., Ydrefors, E., Nogueira, J. H. Alvarenga et al.

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The parton distribution of the pion is obtained for the first time from the solution of a dynamical equation in Minkowski space.

The adopted equation is the homogeneous Bethe-Salpeter one with a ladder kernel, described in terms of i) constituent quarks and gluons degrees of freedom, and ii) an extended quark-gluon vertex.
The masses of quark and gluon as well as the interaction-vertex scale have been chosen in a range suggested by lattice QCD calculations, and calibrated to reproduce both pion mass and decay constant.
Beside the full parton distribution, we have also calculated the contribution from the light-front valence wave function, corresponding to the lowest Fock component in the expansion of the pion state.

The parton distribution function in a pion with Minkowskian dynamics · Around

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