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I have question regarding the mathematica foundations of QFT. As I understand, the "regular" QM (Schrödinger, Heisenberg...) been developped so that the math underlying it checks out. Is this the case for QFT, or is the theory still "iffy" at points? I know it works well experimentally, but are the theories in itself consistent and well-known?

I would really like to know if current research in theoretical physics focusses mainly on quantum gravity, or if there are still alot of people completing QFT.

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# Mathematical foundation of quantum field theory

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