Speaker
Description
The multicritical generalizations of the Lee-Yang universality class arise as RG fixed points of scalar field theories with complex $i\phi^{2n+1}$ interaction, just below their upper critical dimension. It has been recently conjectured that their continuation to two dimensions corresponds to the non-unitary conformal minimal models M(2,2n+3). Motivated by that, I will revisit the functional renormalization group approach to complex PT-symmetric scalar field theories in the Local Potential Approximation, aiming to explore the fate of the $i\phi^{2n+1}$ theories from their upper critical dimension to two dimensions. I will present how the conjecture is found consistent for n=1, while for n>1, how we are unable to follow the fixed points to d=2 due to their annihilations with unexpected non-perturbative fixed points at d>2. This is based on https://arxiv.org/abs/2601.15087
| Affiliation | École polytechnique |
|---|---|
| Link to paper | https://arxiv.org/abs/2601.15087 |
| Career status | PhD student |