- #1
Tendex
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- TL;DR Summary
- The main approach in QFT uses Wightman axioms that define the quantum fields as smeared fields. This has the well-known drawback that multiplication of distributions is in general not well-defined and this kind of multiplication appears routinely in QFT calculations.
So which should be the best strategy to avoid this hurdle: maybe try and look for a different mathematical object as quantum fields? or rather try and avoid their multiplication in our ways to handle them to obtain predictions? any other ideas? perhaps leave it altogether as not very many phycisists and mathematicians care much for the whole thing anyway?