Parity anomalies in 2+1-dimensional Aharonov-Bohm type configurations
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915627307892736 |
|---|---|
| author | Basmaci, Harun Cildiroglu, Hasan Ozgur |
| author_facet | Basmaci, Harun Cildiroglu, Hasan Ozgur |
| contents | We demonstrate that Dirac fermions in 2+1 dimensions, coupled to Abelian gauge fields in multiply-connected regions, exhibit a parity anomaly that directly manifests as Aharonov-Bohm (AB) type topological phases. Using the Fujikawa method, we show that this anomaly reproduces both the AB phase and the spin-dependent Aharonov-Casher (AC) phase. We explicitly calculate the induced topological currents, establishing that their characteristic divergence-free form provides a direct signature of this parity-anomalous topological phase. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_15765 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Parity anomalies in 2+1-dimensional Aharonov-Bohm type configurations Basmaci, Harun Cildiroglu, Hasan Ozgur High Energy Physics - Theory Quantum Physics We demonstrate that Dirac fermions in 2+1 dimensions, coupled to Abelian gauge fields in multiply-connected regions, exhibit a parity anomaly that directly manifests as Aharonov-Bohm (AB) type topological phases. Using the Fujikawa method, we show that this anomaly reproduces both the AB phase and the spin-dependent Aharonov-Casher (AC) phase. We explicitly calculate the induced topological currents, establishing that their characteristic divergence-free form provides a direct signature of this parity-anomalous topological phase. |
| title | Parity anomalies in 2+1-dimensional Aharonov-Bohm type configurations |
| topic | High Energy Physics - Theory Quantum Physics |
| url | https://arxiv.org/abs/2511.15765 |