Diamond of Infrared Equivalences in Abelian Gauge Theories
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910715064877056 |
|---|---|
| author | He, Temple Mitra, Prahar Zurek, Kathryn M. |
| author_facet | He, Temple Mitra, Prahar Zurek, Kathryn M. |
| contents | We demonstrate a tree-level equivalence between four distinct infrared objects in $(d+2)$-dimensional abelian gauge theories. These are ($i$) the large gauge charge $Q_\varepsilon$ where the function $\varepsilon$ on the sphere parameterizing large gauge transformations is identified with the Goldstone mode $θ$ of spontaneously broken large gauge symmetry; ($ii$) the soft effective action that captures the dynamics of the soft and Goldstone modes; ($iii$) the edge mode action with Neumann boundary conditions; and ($iv$) the Wilson line dressing of a scattering amplitude, including a novel dressing for soft photons, which have local charge distributions despite having vanishing global charge. The promotion of the large gauge parameter to the dynamical Goldstone and the novel dressing of soft gauge particles give rise to intriguing possibilities for the future study of infrared dynamics of gauge theories and gravity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_12303 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Diamond of Infrared Equivalences in Abelian Gauge Theories He, Temple Mitra, Prahar Zurek, Kathryn M. High Energy Physics - Theory High Energy Physics - Phenomenology We demonstrate a tree-level equivalence between four distinct infrared objects in $(d+2)$-dimensional abelian gauge theories. These are ($i$) the large gauge charge $Q_\varepsilon$ where the function $\varepsilon$ on the sphere parameterizing large gauge transformations is identified with the Goldstone mode $θ$ of spontaneously broken large gauge symmetry; ($ii$) the soft effective action that captures the dynamics of the soft and Goldstone modes; ($iii$) the edge mode action with Neumann boundary conditions; and ($iv$) the Wilson line dressing of a scattering amplitude, including a novel dressing for soft photons, which have local charge distributions despite having vanishing global charge. The promotion of the large gauge parameter to the dynamical Goldstone and the novel dressing of soft gauge particles give rise to intriguing possibilities for the future study of infrared dynamics of gauge theories and gravity. |
| title | Diamond of Infrared Equivalences in Abelian Gauge Theories |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2405.12303 |