The off-shell expansion relation of the Yang-Mills scalar theory
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866909625630064640 |
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| author | Tao, Yi-Xiao Wu, Konglong |
| author_facet | Tao, Yi-Xiao Wu, Konglong |
| contents | In this work, we investigated the off-shell expansion relation of the Yang-Mills scalar theory. We explicitly showed that the single-trace Berends-Giele currents in the Yang-Mills scalar theory can be decomposed into a term expressed by a linear combination of bi-adjoint scalar Berends-Giele currents and one that vanishes under the on-shell limit. We proved that the bi-adjoint scalar currents, as well as the corresponding coefficients, can be characterized by a graphic approach that was originally studied in Einstein-Yang-Mills expansion. Furthermore, we generalized the decomposition to the multi-trace case through unifying relations and established the connection both in single-trace and multi-trace graphic descriptions. Finally, we established the relations between the Yang-Mills currents and the single-trace Yang-Mills scalar currents choosing special reference orders of the Yang-Mills graphs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_02997 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The off-shell expansion relation of the Yang-Mills scalar theory Tao, Yi-Xiao Wu, Konglong High Energy Physics - Theory In this work, we investigated the off-shell expansion relation of the Yang-Mills scalar theory. We explicitly showed that the single-trace Berends-Giele currents in the Yang-Mills scalar theory can be decomposed into a term expressed by a linear combination of bi-adjoint scalar Berends-Giele currents and one that vanishes under the on-shell limit. We proved that the bi-adjoint scalar currents, as well as the corresponding coefficients, can be characterized by a graphic approach that was originally studied in Einstein-Yang-Mills expansion. Furthermore, we generalized the decomposition to the multi-trace case through unifying relations and established the connection both in single-trace and multi-trace graphic descriptions. Finally, we established the relations between the Yang-Mills currents and the single-trace Yang-Mills scalar currents choosing special reference orders of the Yang-Mills graphs. |
| title | The off-shell expansion relation of the Yang-Mills scalar theory |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2404.02997 |