Wilsonian approach to the interaction φ^2(iφ)^\varepsilon

We study the renormalisation of the non-Hermitian \mathcal{P}\mathcal{T}-symmetric scalar field theory with the interaction \phi^2(i\phi)^\varepsilon using the Wilsonian approach and without any expansion in \varepsilon. Specifically, we solve the Wetterich equation in the local potential approximation, both in the ultraviolet regime and with the loop expansion. We calculate the scale-dependent... Show more