# Why is it path integral formalism being a ''quantization'' procedure?

I do not understand why we call functional integral procedure in QFT being ''quantization'' procedure.Because the integration is the ''summing up'' procedure,but not ''dividing'' into ''quantum'' procedure.Or does this term(quantization) has a origin of being able to deduce Feynman diagrams from functional integral formalism?By the way,does it in the nonperturbative QFT we still use Feynman diagrams?
Thank you very much for your kind helping.

I hear that path integral is also used in Quantum Gravity,so it is a powerful tool for quantization
procedure.Then where is the quantizing meaning with the ''integral''?

DarMM
Gold Member
Quantising just means converting a classical theory into a quantum theory, nothing to do with dividing things up into pieces or anything like. So the path integral formalism quantises a theory because it turns it into a quantum theory.

In nonperturbative QFT you do not use Feynman diagrams.

Quantum Mechanics is a dual particle-wave theory,but path integral formalism has only wave feature.So I do not understand why Path Integral Formalism changes Classical Mechanics into Quantum Mechanics?

dextercioby