= Uniaxial Lifshitz Gaussian renormalization
{title2=$c=b^{1/2},\quad\widetilde Z=b^{(2D+3)/4}$}
For kernel $\kappa^{-1}p_\perp^2+\mu^{-1}p_\parallel^4+m^2$ with positive stiffnesses, preserve both derivative coefficients by $q_\perp=bp_\perp$ and $q_\parallel=b^{1/2}p_\parallel$. The Fourier field multiplier is $\widetilde Z=b^{(2D+3)/4}$, the mass becomes $bm$, and a uniform source becomes $b^{(2D+3)/4}h$. The <anisotropic effective dimension> is $D-1/2$ and the Gaussian exponents are $\alpha=9/4-D/2$, $\Delta=(2D+3)/8$.
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