Our broad goal is to construct models explaining the interactions of elementary particles. The multiple ingredients and fundamental ideas are introduced in succession in the main chapters. We will then discover the bad news: even in simple models, the predictions are non-sensical, being expressed by diverging integrals. Still, a process called renormalization allows finite physical predictions from these infinities. Such is the program of the main chapters. Along the way, a wealth of interesting questions of mathematics will be encountered.
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