Andreas Stergiou (KCL), Gradient Properties of RG Flows
→
Europe/Stockholm
Albano 3: 6228 - Mega (22 seats) (Albano Building 3)
Albano 3: 6228 - Mega (22 seats)
Albano Building 3
22
Description
General properties of the renormalisation group (RG) are of immense theoretical interest, as they have implications for the evolution of physical systems from high to low energies. In a perturbative setting, RG flows are determined by a vector field, the beta function, that can be computed in a loop expansion. In this talk we will discuss the gradient property of the RG up to six loops in multi-scalar models in d=4 and d=4-ε dimensions. After elucidating a variety of subtleties, we will derive and discuss highly nontrivial constraints that need to be satisfied for the RG flow to be gradient.
