Speaker
Description
The conventional picture of the renormalization-group (RG) flow is that of a smooth evolution in coupling space, which becomes approximately linear in the vicinity of fixed points. In this framework, relevant and irrelevant directions are identified through the scaling properties of perturbations around the fixed point.
However, there are important physical situations in which the RG evolution develops singular behavior, leading to strongly accelerated and highly nonlinear flows. In this talk, I discuss two examples of such phenomena: spontaneous symmetry breaking and the formation of bound states. In both cases, the appearance of singular structures in the RG dynamics signals the breakdown of the standard perturbative scaling picture.
These examples suggest that relevance and renormalizability may not be determined solely by local power-law scaling near fixed points, but can also be shaped by global and singular features of the RG trajectory.
| Affiliation | Wigner RCP, Dept. of Computational Sciences |
|---|---|
| Career status | Senior |