Speaker
Description
In the context of the Functional Renormalization Group, the Derivative Expansion is one of the most employed approximation schemes. In the last decade, this scheme has been pushed up to order $\mathcal{O}(\partial^6)$ for the Ising model universality class and to order $\mathcal{O}(\partial^4)$ for the $O(N)$ models. This allowed us to comprehend better the properties and behaviour of this scheme and enabled the introduction of error bars for the computed quantities. As a consequence, in the last few years not only critical exponents but also universal amplitude ratios were computed with a precision and accuracy comparable with the most precise results in the literature and, in some cases, they are the reference results. In this talk I will discuss these recent results in view of the new developments of the derivative expansion.
