In this text, there are scale transformations which are given by Eq. (12.112)

$$

x' = e^{-\rho}x, \quad \varphi{'}(x') = e^{d\rho}\varphi (x) \qquad (1)

$$

Authors then calculate the dilatation current by using these transformations.

In this text, however, the transformations are different (Eq. (7.163)): up to different designations,

$$

x' = e^{-\rho}x, \quad \varphi{'}(x') = e^{d\rho}\varphi (e^{-\rho}x) \qquad (2)

$$

$(1)$ and $(2)$ have different variations $\delta \varphi$, and hence different expressions for dilatation currents. Which is correct?