Speaker
Description
Yukawa models have been suggested to capture a wide array of condensed-matter systems that exhibit emergent Lorentz symmetry. A notable example is the case of graphene sheets, three-dimensional systems described by fermionic theories at the critical point. Graphene undergoes a second-order phase transition structurally very similar to the weak sector of the Standard Model, and this resemblance has led to the hope that it could mimic various effects of chiral and spontaneous symmetry breaking.
In this talk, I will share recent findings regarding four-point functions of two scalars and two fermions in these models. The non-perturbative structure of these correlators has been analyzed, and for the case of Yukawa CFTs with $O(N)$ symmetry we calculated them perturbatively in the context of the $\varepsilon$-expansion. The results presented here are particularly relevant for conformal bootstrap applications.
