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This document provides lecture notes on the mathematical foundations of quantum field theory, focusing on perturbative expansions, divergent series, and renormalization using distributions.
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Advances distributional renormalization framework; leaves open applications to cardiovascular modeling of complex systems.
Lecture notes of a block course explaining why quantum field theory might be in a better mathematical state than one gets the impression from the typical introduction to the topic. It is explained how to make sense of a perturbative expansion that fails to converge and how to express Feynman loop integrals and their renormalization using the language of distribtions rather than divergent, ill-defined integrals.
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Flory et al. (2012) studied this question. This document provides lecture notes on the mathematical foundations of quantum field theory, focusing on perturbative expansions, divergent series, and renormalization using distributions.
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