From 4bf172175927b0fe4b7c5107e6f2cadad564efdd Mon Sep 17 00:00:00 2001 From: Jaron Kent-Dobias Date: Fri, 28 Jan 2022 13:21:22 +0100 Subject: Tiny bit of new writing. --- stokes.tex | 8 ++++++++ 1 file changed, 8 insertions(+) diff --git a/stokes.tex b/stokes.tex index 7b8ea32..82270bd 100644 --- a/stokes.tex +++ b/stokes.tex @@ -41,6 +41,14 @@ \maketitle +Analytic continuation of physical theories is sometimes useful. Some theories +have a well-motivated hamiltonian or action that nevertheless results in a +divergent partition function, and can only be properly defined by continuation +from a parameter regime where everything is well-defined \cite{}. Others result +in oscillatory phase space measures that spoil the use of Monte Carlo or saddle +point techniques, but can be treated in a regime where the measure does not +oscillated and the results continued to the desired model \cite{}. + Consider an action $\mathcal S_\lambda$ defined on the phase space $\Omega$ and depending on parameters $\lambda$. In the context of statistical mechanics, $\mathcal S_{\beta,J}=-\beta H_J$ for some hamiltonian $H_J$ with quenched -- cgit v1.2.3-70-g09d2