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| author | Jaron Kent-Dobias <jaron@kent-dobias.com> | 2024-10-29 10:58:52 +0100 |
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| committer | Jaron Kent-Dobias <jaron@kent-dobias.com> | 2024-10-29 10:58:52 +0100 |
| commit | 8af129d0bda10cb76bf4cf9e7fbcb40febe7d338 (patch) | |
| tree | 95e73eae7c2da2ec05ac416272ab8f8adf1c9255 /marginal.tex | |
| parent | cae62fde30c9da6a91daf478ecd318366d2a9d1a (diff) | |
| download | PRE_110_064148-8af129d0bda10cb76bf4cf9e7fbcb40febe7d338.tar.gz PRE_110_064148-8af129d0bda10cb76bf4cf9e7fbcb40febe7d338.tar.bz2 PRE_110_064148-8af129d0bda10cb76bf4cf9e7fbcb40febe7d338.zip | |
Clarified conditions for decomposition of action
Added language to prevent implying that Gaussianity is sufficient to see
the decomposition of the effective action into two loosly connected
terms.
Diffstat (limited to 'marginal.tex')
| -rw-r--r-- | marginal.tex | 4 |
1 files changed, 2 insertions, 2 deletions
diff --git a/marginal.tex b/marginal.tex index 32f1fd5..cf9db4c 100644 --- a/marginal.tex +++ b/marginal.tex @@ -956,9 +956,9 @@ the contributions from the marginal pieces of the calculation, and is given by \end{equation} \end{widetext} The fact that the complexity can be split into two relatively independent -pieces in this way is a characteristic of the Gaussian nature of the spherical +pieces in this way is a characteristic of the isotropic and Gaussian nature of the spherical spin glass. In Section \ref{sec:least.squares} we will study a model whose -energy is not Gaussian and where such a decomposition is impossible. +energy is isotropic but not Gaussian and where such a decomposition is impossible. There are some dramatic simplifications that emerge from the structure of this particular problem. First, notice that the dependence on the parameters $X$ and $\hat X$ are purely quadratic. |