The field theories in the standard model haven't been shown to be mathematically consistent. Do "effective field theories" bypass this difficulty? Are they completely mathematically well-defined as an approximation? Of course, if the deeper underlying theory is another QFT or string theory, you still can't prove mathematical consistency. But suppose the underlying theory is a lattice model with a large but(adsbygoogle = window.adsbygoogle || []).push({}); finitedegree of freedom, do all the problems disappear?

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# Are effective field theories mathematically well-defined?

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