scalign figures recovered

document/fin_temp.tex

@@ -100,9 +100,12 @@ also suffers from  additive renormalization. The difference between the curves
 is noticeable in the right plot.
 
 At very large temperatures the renormalized quantity on the left of
-\cref{fig:ratio_vev_fintemp} also shows discrepancies between different $\beta$
-values.  These come from lattice artifacts associated with the use of very small
-temporal extensions. This is most clearly visible for the points $L_{4}=2$.
+\cref{fig:ratio_vev_fintemp} also shows discrepancies between
+different $\beta$ values.  These come from lattice artifacts
+associated with the use of very small temporal extensions\footnote{For
+these, the temperature, $T$, is close to the lattice cutoff, $1/a$,
+thus showing lattice artifacts.}. This is most clearly visible for the
+points $L_{4}=2$.
 
 
 

document/symanzik_gradient_flow.tex

@@ -146,7 +146,7 @@ counterterm at $t=0$ generated in the Symanzik effective theory analysis in the
 presence of the flow. This term can be written as a shift in the initial
 condition for the flow
 \begin{equation*}
-  V_{\mu}(x,t=0) = \exp[c_{b}(g^{2}) g^{2} \partial_{x,\mu}S_{\rm flow}[U]]U_{\mu}(x),
+  V_{\mu}(x,t=0) = \exp[c_{b}(g^{2}) g^{2} \partial_{x,\mu}S_{2,\rm flow}[U]]U_{\mu}(x),
 \end{equation*}
 and consequently, due to the flow being a first-order ODE, it can be seen as a
 shift at a later time. The effect can be written as

presentation/phd_defense.tex

@@ -417,6 +417,8 @@
 
 
 
+
+
 \backupend
 
 \end{document}