⚡️Welcome to the world of l⦵⧂p diagrams!👻 Explore Feynman and Schwinger parametrizations, uncover the mysteries of UV divergences, and learn about the superficial degree of divergence!

🤔Curious? Chat with Partha Mukhopadhyay from The Institute of Mathematical Sciences, Chennai, at https://enabla.com/pub/682/about 🎥

Abstract: Having developed the diagrammatics in detail, we now address the problem of explicitly computing the diagrams. The study is facilitated by introducing Feynman and Schwinger parametrization of the loop integrands. We argue that generically loop diagrams are fraught with UV divergences coming from large values of the loop momenta. Typically the diverging contribution comes from a “region of coincidence” where all the vertices associated to the loop coincide in position space. Next we introduce a key concept called superficial degree of divergence. We explain what is superficial about it and then state and outline the proof of Weinberg’s theorem associated with it. This allows us to explore the pattern in which divergences appear for power law potentials depending on the mass dimension of the coupling.

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