𝜃-vacuum from functional renormalization
We study topological properties of a quantum mechanical system with 𝑈(1) symmetry within the functional renormalization group approach. These properties include the vacuum energy structure and the topological susceptibility. Our approach works with a complexification of the flow equation, and speci...
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| Main Authors: | , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
6 January, 2026
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| In: |
Physical review
Year: 2026, Volume: 113, Issue: 2, Pages: 1-19 |
| ISSN: | 2470-0029 |
| DOI: | 10.1103/pryh-22dx |
| Online Access: | Resolving-System, kostenfrei, Volltext: https://doi.org/10.1103/pryh-22dx Verlag, kostenfrei, Volltext: https://link.aps.org/doi/10.1103/pryh-22dx 
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| Author Notes: | Yuepeng Guan, Jan M. Pawlowski, and Masatoshi Yamada |
| Summary: | We study topological properties of a quantum mechanical system with 𝑈(1) symmetry within the functional renormalization group 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) →ℂ. We compute the effective potential of a given topological sector by restricting ourselves to field configurations with given generalized nontrivial 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. |
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| Item Description: | Gesehen am 30.04.2026 |
| Physical Description: | Online Resource |
| ISSN: | 2470-0029 |
| DOI: | 10.1103/pryh-22dx |