Thursday, September 29, 2016

quantum field theory - What do we mean when we say 't Hooft proved that Standard Model is renormalizable?


This question is inspired from Why should the Standard Model be renormalizable? Ron Maimon says that standard model is renormalizable, and though there seems to be conflicting (?) answers. Is this because each answer differs in what "renormalizability" means? Furthermore, what paper Ron Maimon is referencing to by saying "'t Hooft proved it"?


Also, in Renormalizability of standard model it says standard model is renormalizable. So standard model is renormalizable?



Answer



As far as I know, there is no rigorous proof that the standard model with spontaneous symmetry breaking is perturbatively renormalizable to all orders. I think the best available result in this direction is "Renormalization of Spontaneaously Broken SU(2) Yang-Mills Theory with Flow Equations" by Christoph Kopper and Volkhard F. Müller. There is also the older article "Renormalization of the electroweak standard model to all orders" by Elisabeth Kraus.


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