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@@ -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 |