Speaker
Description
When it comes to extracting actual testable predictions from theoretical models, perturbative QFT is one of the most successful frameworks, with Feynman diagrams being one of the key bookkeeping devices. However, as one increases the loop order, it becomes a daunting task to overcome the increasingly rampant subdivergences that appear. The BPHZ renormalization scheme provides a way of organizing these divergences, but even then, the amount of effort needed to handle 5-loop diagrams demonstrates that renormalization, in its current form, is still a monumental task. Here, we present a different perspective on perturbative renormalization, based in Hopf algebras, which has been used to recontextualize Ward identities as well as automate counterterm calculations out to at least 10 loops.
