From d022afbcd73e46a3bdc77e250bc9c6f8aa9af14e Mon Sep 17 00:00:00 2001 From: Jaron Kent-Dobias Date: Wed, 24 Mar 2021 16:25:34 +0100 Subject: More wording tweaks. --- bezout.tex | 8 +++----- 1 file changed, 3 insertions(+), 5 deletions(-) (limited to 'bezout.tex') 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 -- cgit v1.2.3-54-g00ecf