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Perturbative QFT in D = 4

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SRQW02 - Quantum field theory, renormalisation and stochastic partial differential equations

Non-abelian Yang-Mills theories are the key building blocks of the standard model of particle physics. Their renormalization, even at the perturbative level, is a difficult problem because it must be shown that—and in precisely what sense—there exists a renormalization scheme preserving local gauge invariance.In this talk, I outline solutions to this problem (a) in the context of curved Lorentzian spacetimes and (b) within the context of flat Euclidean space. The methods presented are rather different, in that the first is based on a generalization of the Epstein-Glaser method—also called "causal perturbation theory", while the second is based on the so called "flow equation method".The talk will be introductory in nature.

This talk is part of the Isaac Newton Institute Seminar Series series.

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