- #1
Geigercounter
- 8
- 2
- Homework Statement
- I want to compute the following path integral
Here $w_i(x)$ are functions of the $n$ real variables $x_i$ and $\theta_i$ and $\overline{\theta}_i$ are $n$ independent Grassmann variables.
- Relevant Equations
- See below.
The first step seems easy: computation of the $\theta$ and $\overline{\theta}$ integrals give
From here, I tried using that But I don't seem to be able to apply this step.
Other ideas I had included writing out the determinant as to then use some kind of partial integration.
Another, similar, idea was to use the fact that
From here, I tried using that
Other ideas I had included writing out the determinant as
Another, similar, idea was to use the fact that
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