  We generalize the gravitational form factor for chiral fermion in vacuum,
which reproduces the well-known spin-vorticity coupling. We also calculate
radiative correction to the gravitational form factors in quantum
electrodynamics plasma. We find two structures in the form factors contributing
to the scattering amplitude of fermion in vorticity field, one is from the
fermion self-energy correction, pointing to suppression of spin-vorticity
coupling in medium; the other structure comes from graviton-fermion vertex
correction, which does not adopt potential interpretation, but corresponds to
transition matrix element between initial and final states. Both structures
contribute to axial chiral vortical effect. The net effect is that radiative
correction enhances the axial chiral vortical effect. Our results clarify the
relation and difference between spin-vorticity coupling and axial chiral
vortical effect from the perspective of form factors. We also discuss the
application of the results in quantum chromodynamic plasma, indicating
radiative correction might have an appreciable effect in spin polarization
effect in heavy ion collisions.
