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authorJaron Kent-Dobias <jaron@kent-dobias.com>2022-01-28 13:21:22 +0100
committerJaron Kent-Dobias <jaron@kent-dobias.com>2022-01-28 13:21:22 +0100
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Tiny bit of new writing.
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\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