Orateur
Omar Zanusso
Description
On the one hand the analysis of the topological A-anomaly suggests that the renormalization group flow has a gradient structure for models with short-range interactions in even dimensions. On the other hand the requirement that the flow has a gradient structure constrains form of the beta functions. We show that these properties survive nontrivially also in other dimensions and in presence of long-range interactions. We also explicitly connect the gradient structure with the F-function and a generalization of Zamolodchikov's metric using general self-interacting scalar theories with many flavors as examples.