Stress-Tensor—Current Commutation Relations, the Pion-Mass Form Factors, and Tensor- and Scalar-Meson Dominance

The low-energy behavior of the pion-mass form factors is derived using stress-tensor—current commutation relations. The results indicate significant deviations from tensor-meson and scalar-meson pole dominance of the stress tensor. The stress-tensor—$\epsilon$-meson coupling and the scale dimension of the pion field are obtained in terms of $g_{A_1\epsilon \pi }$. Numerical estimates are given.