Spin-Two Mesons, the Stress Tensor, and a Field-Source Identity. I

It is suggested that the hypothesis that the matrix elements of the stress tensor are dominated by the neutral isoscalar spin-two mesons may be expressed by a field-source identity. This states that, to the lowest order in the gravitational constant $\kappa$, the traceless part of the complete stress-energy tensor is proportional to a linear combination of the renormalized field operators of the neutral, isoscalar spin-two mesons. It is shown how this identity may be realized in a Lagrangian field theory, in a manner analogous to the work of Kroll, Lee, and zumino for the vector-meson dominance of the electromagnetic current. The conditions imposed by Lorentz covariance are discussed. The field-source identity determines the parts of the singular terms in the stress-tensor commutation relations which are the most singular in the coupling strength.