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author | Jaron Kent-Dobias <jaron@kent-dobias.com> | 2022-01-28 13:21:22 +0100 |
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committer | Jaron Kent-Dobias <jaron@kent-dobias.com> | 2022-01-28 13:21:22 +0100 |
commit | 4bf172175927b0fe4b7c5107e6f2cadad564efdd (patch) | |
tree | b00f6adfba731b8b0f2bdafbfb5614aee19bc2f1 | |
parent | a2cdc257777921e0af7f9984c9c91ccbdb398367 (diff) | |
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Tiny bit of new writing.
-rw-r--r-- | stokes.tex | 8 |
1 files changed, 8 insertions, 0 deletions
@@ -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 |