Take the 2-minute tour ×
Physics Stack Exchange is a question and answer site for active researchers, academics and students of physics. It's 100% free, no registration required.

This question already has an answer here:

I understood that quantum field theory is essentially based on a problematic mathematical basis. Can someone please explain what is the fundamental problem to formulate QFT as a rigorous mathematical theory? It's clear that it has to do with renormalization but similar techniques are already exist in analytically number theory (and are considered to be a mathematical theory).

share|improve this question

marked as duplicate by John Rennie, Qmechanic Nov 15 '13 at 11:51

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.

Be aware that there are multiple QFT's, some of which aren't so problematic; see Which QFTs were rigorously constructed?. –  Chris White Nov 15 '13 at 1:00
Related: physics.stackexchange.com/q/27665/2451 and links therein. –  Qmechanic Nov 15 '13 at 2:16