For some unknown reason latex is putting a huge ugly whitespace around this piece of code
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\begin{align}
I(\veci{\rho};z) &= \int d\veci{\rho}' \sep \left| A(\veci{\rho}',\veci{\rho};z) \right|^2 \\
&= \int d\veci{\rho}' \sep A^{*}(\veci{\rho}',\veci{\rho};z) \sep A(\veci{\rho},\veci{\rho}';z) \\
&= \int d\veci{\rho}' \sep \left| E_p\left( \frac{\veci{\rho}'+\veci{\rho}}{2};z \right) \right|^2 \sep \left| V(\veci{\rho}'-\veci{\rho};z) \right|^2 \\
&\approx \int d\veci{\rho}' \sep \left| \delta\left( \frac{\veci{\rho}'+\veci{\rho}}{2};z \right) \right|^2 \sep \left| V(\veci{\rho}'-\veci{\rho};z) \right|^2
\end{align}
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\begin{align}
I(\veci{\rho};z) &= \int d\veci{\rho}' \sep \left| A(\veci{\rho}',\veci{\rho};z) \right|^2 \\
&= \int d\veci{\rho}' \sep A^{*}(\veci{\rho}',\veci{\rho};z) \sep A(\veci{\rho},\veci{\rho}';z) \\
&= \int d\veci{\rho}' \sep \left| E_p\left( \frac{\veci{\rho}'+\veci{\rho}}{2};z \right) \right|^2 \sep \left| V(\veci{\rho}'-\veci{\rho};z) \right|^2
%&\approx \int d\veci{\rho}' \sep \left| \delta\left( \frac{\veci{\rho}'+\veci{\rho}}{2};z \right) \right|^2 \sep \left| V(\veci{\rho}'-\veci{\rho};z) \right|^2
\end{align}
The command \sep en \veci I defined myself and give no trouble in other parts of the document.