diff options
| -rw-r--r-- | cover.tex | 21 |
1 files changed, 10 insertions, 11 deletions
@@ -44,17 +44,16 @@ a multiplicity of minima. Apart from its obvious relevance to glassy systems, it has found applications in many domains: computer science, ecology, economics, and biology, to name a few. \footfullcite{Mezard_2009_Information} -In the last few years, a renewed interest has developed in landscapes for -which the variables are complex. There are a couple reasons for this: in -computational physics the `sign problem' is a major obstacle, and a strategy -has emerged to attack it by deforming the sampling space into complex variables. -This is a most natural and promising path, and any progress made will have -game-changing impact in solid state physics and lattice QCD. -\footfullcite{Cristoforetti_2012_New, Scorzato_2016_The} At a more basic -level, following the seminal work of E.~Witten, \footfullcite{Witten_2010_A, -Witten_2011_Analytic} there has been a flurry of activity concerning the very -definition of quantum mechanics, which also requires that one move into the -complex plane. +Recently, interest has developed in landscapes for which the variables are +complex. There are several reasons for this: in computational physics the +`sign problem' is a major obstacle, and a strategy has emerged to attack it by +deforming the sampling space into complex variables. This is a most natural +and promising path, and any progress made will have game-changing impact in +solid state physics and lattice QCD. \footfullcite{Cristoforetti_2012_New, +Scorzato_2016_The} At a more basic level, following the seminal work of +E.~Witten, \footfullcite{Witten_2010_A, Witten_2011_Analytic} there has been a +flurry of activity concerning the very definition of quantum mechanics, which +also requires that one move into the complex plane. In these cases, just as in the real case, one needs to understand the structure of the `landscape,' like the location of saddle points, how they are connected, |