Energy-momentum tensor in theories with scalar fields and two coupling constants. II. Yukawa theory.

Abstract

We examine the question of renormalization of the energy-momentum tensor in Yukawa theory following our earlier work on scalar QED and non-Abelian gauge theories with scalars. As in those cases, we consider two kinds of forms for the improvement term: (1) one in which the improvement coefficient is a finite function of bare quantities of the theory (so that the energy-momentum tensor can be derived from an action that is a finite function of bare quantities); (ii) one in which the improvement coefficient is a finite quantity. As in earlier cases discussed we show that neither form leads to a finite energy-momentum tensor to O(${g}^{2}$${\ensuremath{\lambda}}^{n}$). .AE