Speaker
Alessandro Codello
(Ca' Foscari)
Description
We show that it is possible to use dimensional regularization (DR) beyond the usual $\varepsilon$-expansion in the context of renormalization group (RG) calculations in Critical Phenomena.
Based on this fact, we propose a new functional RG scheme - Functional Dimensional Regularization (FDR) - and apply it to a scalar theory in three dimensions.
We compute the critical exponents of the Ising universality class directly in $d=3$ under various typical approximations.
The method that emerges combines the agility typical of DR with the generality proper of functional RG.
Moreover, at a given order of approximation, FDR seems to provide faster convergence and better estimates than other functional RGs.
| Affiliation | Ca' Foscari |
|---|---|
| Career status | Senior |
Author
Alessandro Codello
(Ca' Foscari)