Pion gravitational form factors in an algebraic rainbow-ladder model

Within rainbow-ladder truncation, we identify three contributions to the pion’s gravitational form factors—graviton coupling to the quark, to the gluon dressing the quark, and to the gluon binding the pion—and separate them into quark and gluon parts. Using an algebraic quark model with a dynamical basis, we obtain $A(0)=1$, $D(0)=-1$ in the chiral limit, and momentum fractions $⟨x{⟩}_q=0.896$, $⟨x{⟩}_g=0.104$. The D-term obeys the same partition at the model scale.