Higher Fock State Contributions to the Generalized Parton Distribution of Pion
Abstract
We discuss the higher Fock state (q q g) contributions to the nonzero value of the pion GPD at the crossover point x = zeta between the DGLAP and ERBL regions. Using the phenomenological light-front constituent quark model, we confirm that the higher Fock state contributions indeed give a nonzero value of the GPD at the crossover point. Iterating the light-front quark model wave function of the lowest q q Fock state with the Bethe-Salpeter kernel corresponding to the one-gluon-exchange, we include all possible time-ordered q q g Fock state contributions and obtain the pion GPD satisfying necessary sum rules and continuity conditions.
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