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| -rw-r--r-- | bezout.tex | 8 |
1 files changed, 3 insertions, 5 deletions
@@ -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 |