Functional renormalization group approach to the Yang-Lee edge singularity

We determine the scaling properties of the Yang-Lee edge singularity as described by a one-component scalar field theory with imaginary cubic coupling, using the nonperturbative functional renormalization group in \(3 \leq d\leq 6\) Euclidean dimensions. We find very good agreement with high-temperature series data in \(d = 3\) dimensions and compare our results to recent estimates of critical exponents obtained with the four-loop \(\epsilon = 6-d\) expansion and the conformal bootstrap. The relevance of operator insertions at the corresponding fixed point of the RG \(\beta\) functions is discussed and we estimate the error associated with \(\mathcal{O}(\partial^4)\) truncations of the scale-dependent effective action.