Noether’s theorem and Ward-Takahashi identities from homotopy algebras
Abstract We derive the new identity in homotopy algebras which directly corresponds to the Schwinger-Dyson equations in quantum field theory. As an application, we derive the Ward-Takahashi identities. We demonstrate that the Ward-Takahashi identities are reproduced in several examples. In general,...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2024-09-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP09(2024)048 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1846137387164368896 |
|---|---|
| author | Keisuke Konosu Jojiro Totsuka-Yoshinaka |
| author_facet | Keisuke Konosu Jojiro Totsuka-Yoshinaka |
| author_sort | Keisuke Konosu |
| collection | DOAJ |
| description | Abstract We derive the new identity in homotopy algebras which directly corresponds to the Schwinger-Dyson equations in quantum field theory. As an application, we derive the Ward-Takahashi identities. We demonstrate that the Ward-Takahashi identities are reproduced in several examples. In general, our formula contains divergence. We mediate this problem by introducing stubs known in the context of string field theory. With the regularization, we can calculate the anomaly such as axial U(1) anomaly in vector-like U(1) gauge theory. |
| format | Article |
| id | doaj-art-de15a326ab5d4a638e6daa66f195d84b |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-de15a326ab5d4a638e6daa66f195d84b2024-12-08T12:15:25ZengSpringerOpenJournal of High Energy Physics1029-84792024-09-012024914810.1007/JHEP09(2024)048Noether’s theorem and Ward-Takahashi identities from homotopy algebrasKeisuke Konosu0Jojiro Totsuka-Yoshinaka1Graduate School of Arts and Sciences, The University of TokyoDepartment of Physics, Kyoto UniversityAbstract We derive the new identity in homotopy algebras which directly corresponds to the Schwinger-Dyson equations in quantum field theory. As an application, we derive the Ward-Takahashi identities. We demonstrate that the Ward-Takahashi identities are reproduced in several examples. In general, our formula contains divergence. We mediate this problem by introducing stubs known in the context of string field theory. With the regularization, we can calculate the anomaly such as axial U(1) anomaly in vector-like U(1) gauge theory.https://doi.org/10.1007/JHEP09(2024)048String Field TheoryGlobal Symmetries |
| spellingShingle | Keisuke Konosu Jojiro Totsuka-Yoshinaka Noether’s theorem and Ward-Takahashi identities from homotopy algebras Journal of High Energy Physics String Field Theory Global Symmetries |
| title | Noether’s theorem and Ward-Takahashi identities from homotopy algebras |
| title_full | Noether’s theorem and Ward-Takahashi identities from homotopy algebras |
| title_fullStr | Noether’s theorem and Ward-Takahashi identities from homotopy algebras |
| title_full_unstemmed | Noether’s theorem and Ward-Takahashi identities from homotopy algebras |
| title_short | Noether’s theorem and Ward-Takahashi identities from homotopy algebras |
| title_sort | noether s theorem and ward takahashi identities from homotopy algebras |
| topic | String Field Theory Global Symmetries |
| url | https://doi.org/10.1007/JHEP09(2024)048 |
| work_keys_str_mv | AT keisukekonosu noetherstheoremandwardtakahashiidentitiesfromhomotopyalgebras AT jojirototsukayoshinaka noetherstheoremandwardtakahashiidentitiesfromhomotopyalgebras |