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authorJaron Kent-Dobias <jaron@kent-dobias.com>2021-03-24 16:25:34 +0100
committerJaron Kent-Dobias <jaron@kent-dobias.com>2021-03-24 16:25:34 +0100
commitd022afbcd73e46a3bdc77e250bc9c6f8aa9af14e (patch)
tree5609b050b0b4fef5702f22f58f79f0086dfa9d85
parentf4046b1106937531cf2b034f550f311087b4ff82 (diff)
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More wording tweaks.
-rw-r--r--bezout.tex8
1 files changed, 3 insertions, 5 deletions
diff --git a/bezout.tex b/bezout.tex
index 151ea2a..2a34bbf 100644
--- a/bezout.tex
+++ b/bezout.tex
@@ -85,12 +85,10 @@ $2N$-dimensional complex space has turned out to be necessary for correctly
defining and analyzing path integrals with complex action (see
\cite{Witten_2010_A, Witten_2011_Analytic}), and as a useful palliative for the
sign problem \cite{Cristoforetti_2012_New, Tanizaki_2017_Gradient,
-Scorzato_2016_The}. In order to do this correctly, features of landscape of
-the action in complex space---such as the relative position of saddles and the
+Scorzato_2016_The}. In order to do this correctly, features of the action's landscape in complex space---such as the relative position of saddles and the
existence of Stokes lines joining them---must be understood. This is typically
-done for simple actions with few critical points, or for a target
-phenomenology with symmetries that restrict the set of critical
-points to few candidates. Given the recent proliferation of `glassiness' in
+done for simple actions with few saddles, or for a target
+phenomenology with symmetries that restrict the set of saddles to few candidates. Given the recent proliferation of `glassiness' in
condensed matter and high energy physics, it is inevitable that someone will
want to apply these methods to a system with a complex landscape, and will find
they cannot use approaches that rely on such assumptions. Their landscape may not be random: here we