Stratonovich Path integrals

 

Stochastic differential equation

 

 

Discretised path

 

 

 

Discretised SDE

 

 

 

 

Path integral

 

 

References

 

Cugliandolo, L. F. and V. Lecomte (2017). "Rules of calculus in the path integral representation of white noise Langevin equations: the Onsager-Machlup approach." Journal of Physics A: Mathematical and Theoretical 50(34): 345001.