diff options
| -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} |