Speaker
Description
We study topological properties of a quantum mechanical system with $U(1)$-symmetry within the functional renormalisation group (fRG) approach. These properties include the vacuum energy structure and the topological susceptibility. Our approach works with a complexification of the flow equation, and specifically we embed the original symmetry into the complex plane, $U(1)\rightarrow \mathbb{C}$. We compute the effective potential of a given topological sector by restricting ourselves to field configurations with given generalised non-trivial Chern–Simons numbers. The full potential is directly constructed from these sector potentials. Our results compare well with the benchmark results obtained from solving the corresponding Schr\"odinger equation.
| Affiliation | Center for Theoretical Physics and College of Physics, Jilin University |
|---|---|
| Link to paper | 2507.22318 [hep-th] or https://doi.org/10.1103/pryh-22dx |
| Career status | PhD student |