2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/96248The Ward-Takahashi (WT) identities for incompressible flow implied by Galilean invariance are derived for the randomly forced Navier-Stokes equation (NSE), in which both the mean and fluctuating velocity components are explicitly present. The consequences of Galilean invariance for the vertex renormalization are drawn from this identity.REVTeX 4, 4 pages, no figures. To appear as a Brief Report in the Physical Review EStatistical MechanicsHigh Energy Physics - TheoryFluid DynamicsGalilean invariance and homogeneous anisotropic randomly stirred flowstext