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We investigate the role of a dynamical gluon in the pion within the Basis Light-Front Quantization (BLFQ) framework and compare it with the solution of the Minkowski space Bethe-Salpeter equation, focusing on contributions beyond the valence state. Particularly in BLFQ, we identify the effect on the pion structure of the dynamical chiral symmetry breaking by the enhancement of the spin-flip matrix element, through the |q qg component of the light-front wave function and associated gluon parton distribution function (PDF). We explicitly show an enhancement of the low-x contribution in the quark PDF associated with the large spin-flip matrix element, necessary to provide the - mass splitting.
Lan et al. (Thu,) studied this question.