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The off-shell expansion relation of the Yang-Mills scalar theory
by Yi-Xiao Tao, Konglong Wu
Submission summary
| Authors (as registered SciPost users): | Konglong Wu |
| Submission information | |
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| Preprint Link: | scipost_202407_00040v1 (pdf) |
| Date submitted: | 2024-07-21 17:39 |
| Submitted by: | Wu, Konglong |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
In this work, we investigate the off-shell expansion relation of the Yang-Mills scalar theory. We have shown explicitly 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 by choosing special reference orders of the Yang-Mills graphs.
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