Abstract
A previous study of the energy-momentum tensor in ϕ 4 theory and spontaneously broken non-Abelian gauge field theories is extended here to show finiteness to all orders in perturbation theory. Divergences of Green's functions Γ μν ( j) ( q; p 1, …, p j ) involving the energy-momentum tensor θ μν and j particle fields are removed by counterterms of the ordinary Lagrangian plus a renormalization of the coefficient of the Callan-Coleman-Jackiw improvement term in θ μν . Physically the extra renormalization means that the mean square “mass radius” of elementary spin zero particles must be specified from experiment.
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