2017年11月1日
Global inconsistency, 't Hooft anomaly, and level crossing in quantum mechanics
Progress of Theoretical and Experimental Physics
- ,
- 巻
- 2017
- 号
- 11
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1093/ptep/ptx148
- 出版者・発行元
- Physical Society of Japan
An 't Hooft anomaly is the obstruction for gauging symmetries, and it constrains possible low-energy behaviors of quantum field theories by excluding trivial infrared theories. The global inconsistency condition has recently been proposed as a milder condition but is expected to play almost the same role by comparing high symmetry points in the theory space. In order to clarify the consequences of this new condition, we discuss several quantum-mechanical models with topological angles and explicitly compute their energy spectra. It turns out that the global inconsistency can be saturated not only by the ground-state degeneracy at either of the high symmetry points but also by the level crossing (phase transition) separating those high symmetry points.
- リンク情報
- ID情報
-
- DOI : 10.1093/ptep/ptx148
- ISSN : 2050-3911
- ORCIDのPut Code : 61486821
- arXiv ID : arXiv:1708.01962
- SCOPUS ID : 85040064614