The Dirac field has the global symmetry , , while the real scalar is unchanged. Both the free Dirac action and the pseudoscalar Yukawa interaction preserve this symmetry. Therefore Dirac fermion number conservation holds: its charge counts particles minus antiparticles.
The initial state has charge , whereas a final antiparticle and a neutral scalar have charge . Since the S-matrix commutes with that charge,
This holds at every order, not just tree level. In the Feynman rules, a continuous fermion arrow cannot connect these specified external states. Replacing only the outgoing by a in the previous expression would not give a physical amplitude. Changing both external fermions to antiparticles would instead produce an allowed process with reversed fermion flow and the appropriate spinors; moving a leg between initial and final states is a different operation governed by crossing symmetry.
A pseudoscalar Yukawa interaction couples a Dirac field bilinear containing the chirality matrix to a spin-zero field. In the standard mostly-minus gamma matrix convention with and the usual Dirac adjoint, is Hermitian for real and real . If is a pseudoscalar, the interaction also preserves parity symmetry in quantum field theory; if is parity even, it breaks that symmetry. Moving the factor into the definition of changes the displayed vertex coefficient but not the interaction. Each vertex has one bosonic leg and two oppositely oriented fermion legs, and preserves Dirac fermion number conservation.