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Functional renormalization group for non-Hermitian and PT-symmetric systems

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Kennes,  D. M.
Institut für Theorie der Statistischen Physik, RWTH Aachen University;
Theory Group, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society;

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Citation

Grunwald, L., Meden, V., & Kennes, D. M. (2022). Functional renormalization group for non-Hermitian and PT-symmetric systems. SciPost Physics, 12(5): 179. doi:10.21468/SciPostPhys.12.5.179.


Cite as: https://hdl.handle.net/21.11116/0000-000A-1DA7-A
Abstract
We generalize the vertex expansion approach of the functional renormalization group to non-Hermitian systems. As certain anomalous expectation values might not vanish, additional terms as compared to the Hermitian case can appear in the flow equations. We investigate the merits and shortcomings of the vertex expansion for non-Hermitian systems by considering an exactly solvable PT-symmetric non-linear toy-model and reveal, that in this model, the fidelity of the vertex expansion in a perturbatively motivated truncation schema is comparable with that of the Hermitian case. The vertex expansion appears to be a viable method for studying correlation effects in non-Hermitian systems.