# Are statistical fields commutative?

In both statistical field theory and quantum field theory one computes average values / time ordered expectation values of functionals of fields with the path integral. I have two related questions:

1. Is it the path integral alone that make quantum fields non-commutative or are other constraints also required?

2. Are statistical fields non-commutative?

• – Qmechanic Feb 21 '17 at 15:31