A note on quantum Hamiltonian reduction and anomalies
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866916728687034368 |
|---|---|
| author | Elfimov, Boris M. Sharapov, Alexey A. |
| author_facet | Elfimov, Boris M. Sharapov, Alexey A. |
| contents | Quantization of field-theoretic models with gauge symmetries is often obstructed by quantum anomalies. It is commonly believed that the origin of these anomalies lies in the infinite number of degrees of freedom, which requires completing the model within an appropriate regularization scheme. This paper provides an explicit example of a finite-dimensional Hamiltonian system with first-class constraints whose quantization exhibits anomalies. These anomalies arise from the nontrivial topology of the reduced phase space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_05779 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A note on quantum Hamiltonian reduction and anomalies Elfimov, Boris M. Sharapov, Alexey A. Mathematical Physics Quantization of field-theoretic models with gauge symmetries is often obstructed by quantum anomalies. It is commonly believed that the origin of these anomalies lies in the infinite number of degrees of freedom, which requires completing the model within an appropriate regularization scheme. This paper provides an explicit example of a finite-dimensional Hamiltonian system with first-class constraints whose quantization exhibits anomalies. These anomalies arise from the nontrivial topology of the reduced phase space. |
| title | A note on quantum Hamiltonian reduction and anomalies |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2505.05779 |