Proper time and path integral representations for the commutation function
Sergei P. Gavrilov, D. M. Gitman · Journal of Mathematical Physics · 1996
On the example of the quantized spinor field, interacting with arbitrary external electromagnetic field, the commutation function is studied. It is shown that a proper time representation is available in any dimensions. Using it, all the light cone singularities of the function are found explicitly, generalizing the Fock formula in four dimensions, and a path integral representation is constructed.