Speaker
Description
The derivative expansion is a central approximation scheme within the functional renormalization group, yet its convergence is often hindered by a strong dependence on the choice of regulator.
In this talk, we argue that this limitation originates from the incomplete realization of conformal symmetry at criticality within standard projection procedures. To address this issue, we construct a symmetry-consistent projection onto the derivative expansion in which conformal constraints are explicitly enforced at the critical fixed point. The resulting scheme significantly reduces regulator dependence and exhibits an improved convergence pattern, while also lowering computational complexity.
We implement this approach for the three-dimensional Ising universality class at fourth order and benchmark the results against conventional sixth-order calculations as well as other established methods.
Our findings highlight conformal symmetry as a key organizing principle for functional renormalization group truncations and provide a systematic pathway toward more accurate and efficient approximations in critical phenomena.
| Affiliation | Instituto de Física, Facultad de Ciencias, Udelar |
|---|---|
| Career status | Senior |