# Path integral presentation of solutions of Dirac equation

It is well known how to present solutions on the heat equation using the path integral (including the case of Riemannian manifold).

Is there a way to present solutions of the Dirac equation using path integral?

Here I assume that there is a distinguished time coordinate orthogonal to spatial coordinates. If necessary one may assume that the metric is Riemannian (rather than Minkowskian).