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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2506.00078 |
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| _version_ | 1866918041101533184 |
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| author | Gamboa, J. |
| author_facet | Gamboa, J. |
| contents | We revisit the origin of the vacuum angle $θ$ in QCD using the adiabatic approximation combined with Fujikawa's method. By implementing a local chiral transformation and selecting a constant parameter $α(x) = θ$, we show that the QCD $θ$-term emerges naturally in the effective action. This construction provides a non-perturbative interpretation of the axial anomaly and highlights the role of the adiabatic gauge condition in isolating the topological sector of the theory. As a consequence, the physical states acquire topological information encoded in the functional Berry phase $Δα$, which manifests itself as a holonomy over the space of gauge configurations. This result offers a geometric and dynamical perspective on the structure of the QCD vacuum and its relation to anomaly-induced phases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_00078 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Role of Berry Phases in the QCD Vacuum Structure Gamboa, J. High Energy Physics - Theory We revisit the origin of the vacuum angle $θ$ in QCD using the adiabatic approximation combined with Fujikawa's method. By implementing a local chiral transformation and selecting a constant parameter $α(x) = θ$, we show that the QCD $θ$-term emerges naturally in the effective action. This construction provides a non-perturbative interpretation of the axial anomaly and highlights the role of the adiabatic gauge condition in isolating the topological sector of the theory. As a consequence, the physical states acquire topological information encoded in the functional Berry phase $Δα$, which manifests itself as a holonomy over the space of gauge configurations. This result offers a geometric and dynamical perspective on the structure of the QCD vacuum and its relation to anomaly-induced phases. |
| title | The Role of Berry Phases in the QCD Vacuum Structure |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2506.00078 |