Formula_8313

\[\begin{gathered}U\left(t^{\prime \prime}-t^{\prime} ; a^{*}, a\right)=\int \exp \left\{\frac{1}{2}\left[a^{*}\left(t^{\prime \prime}\right) a\left(t^{\prime \prime}\right)+a^{*}\left(t^{\prime}\right) a\left(t^{\prime}\right)\right]+\right. \\+i \int_{t^{\prime}}^{t^{\prime \prime}}\left[\frac{1}{2 i}\left(d^{*} a-a^{*} d-h\left(a^{*}, a\right)\right] d t\right\} \prod_{t} \frac{d a^{*} d a}{2 \pi i} .\end{gathered}\]