>>13424912I dont know. However, do note that we have perfectly well defined qfts in 2 dimensions.
Also, it might depend on your perspective.
In general, we dont know how to integrate over a infinite dimensional space. Thats the problem with the functional integral approach.
We also dont know the proper hilbertspace/vacuum state for our interacting theory. Thats the problem with a local observable approach.
We also dont know how to properly handle
the renormalization group flow.
>>13427007you write the appropriate feynman diagrams and calculate the crossections