“Temperature Cutoff” in Quantum Field Theory and Mass Renormalization
In quantum field theory, we quite often need a cutoff, particularly if we wish to consider the mass differences of highly symmetric multiplets, in which case we cannot dispose of infinite constants simply by calling them “unobservable effects.” Furthermore, interactions of widely diverse strength and structure such as strong, electromagnetic, and weak interactions all require a cutoff of the same order of magnitude, although there is no quantitative relationship between the different effects of a given interaction. Therefore, the cutoff for which we are searching is not likely to be of mathematical origin, if field theory is in fact a good approximation, giving us at least quantities of the right order of magnitude.
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