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| author | Jaron Kent-Dobias <jaron@kent-dobias.com> | 2024-09-04 23:34:11 +0200 |
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| committer | Jaron Kent-Dobias <jaron@kent-dobias.com> | 2024-09-04 23:34:11 +0200 |
| commit | 4fa9c980d9d793bdb3a2ad676346f8f3a0bbc476 (patch) | |
| tree | 493bc875ba8166cecc148ccecd002f5f6ed720f0 | |
| parent | 4e0fc450da1c3b293f232e218cd6d87717e7adb5 (diff) | |
| download | SciPostPhys_18_158-4fa9c980d9d793bdb3a2ad676346f8f3a0bbc476.tar.gz SciPostPhys_18_158-4fa9c980d9d793bdb3a2ad676346f8f3a0bbc476.tar.bz2 SciPostPhys_18_158-4fa9c980d9d793bdb3a2ad676346f8f3a0bbc476.zip | |
A bit of writing.
| -rw-r--r-- | topology.tex | 10 |
1 files changed, 8 insertions, 2 deletions
diff --git a/topology.tex b/topology.tex index 4120cef..daacab2 100644 --- a/topology.tex +++ b/topology.tex @@ -1176,7 +1176,7 @@ to before. Alongside those in \eqref{eq:ops.bos} and \eqref{eq:ops.ferm}, we als These come with a volume term in the action \begin{equation} \begin{aligned} - \frac12\log\det\left( + \mathcal V=\frac12\log\det\left( \begin{bmatrix} C & iR & X_+ & X_- \\ iR & D & i\hat X_+ & i\hat X_- \\ @@ -1246,7 +1246,13 @@ and likewise a Gaussian integral in the Grassmann variables with kernel -G_{21} & -\bar J & -G_{22} & 0 \end{bmatrix} \end{equation} -\ +The effective action then has the form +\begin{equation} + \mathcal S + =-\frac\alpha2\left( + \log\det K-\log\det K'+V_0^2(K^{-1})_{22} + \right)+\mathcal V +\end{equation} |