Abstract:
We study topological properties of a quantum mechanical system with 
-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, 
. We compute the effective potential of a given topological sector by restricting ourselves to field configurations with a 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 Schrödinger equation.
Y. Guan, J. M. Pawlowski, M. Yamada, „The θ-vacuum from functional renormalisation“,
30. Juli 2025, arXiv:2507.22318 (2025).
https://arxiv.org/abs/2507.22318
Related to Project A02, B03