On the gauge invariance of the higher-derivative Yang-Mills-Chern-Simons action
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866917679073329152 |
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| author | Ghasemkhani, M. Soleimani, G. Bufalo, R. |
| author_facet | Ghasemkhani, M. Soleimani, G. Bufalo, R. |
| contents | In this work, we study the perturbative generation of the gauge invariant effective action for the non-Abelian gauge field in a $(2+1)$-dimensional spacetime. We present a detailed analysis of the two, three and four-point functions in order to determine the non-Abelian Chern-Simons terms (parity odd) and Yang-Mills terms (parity even). Moreover, these terms are supplemented by the higher-derivative corrections which resulted in the Alekseev-Arbuzov-Baikov effective action (parity even) plus the higher-derivative (HD) corrections to the Chern-Simons terms (parity odd). In order to highlight some features about the perturbative generation of the effective action, we present a discussion based on the dimensional analysis, which allows us to establish the general structure of the permissible terms to guarantee the gauge invariance of the higher-derivative parts. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_10134 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the gauge invariance of the higher-derivative Yang-Mills-Chern-Simons action Ghasemkhani, M. Soleimani, G. Bufalo, R. High Energy Physics - Theory In this work, we study the perturbative generation of the gauge invariant effective action for the non-Abelian gauge field in a $(2+1)$-dimensional spacetime. We present a detailed analysis of the two, three and four-point functions in order to determine the non-Abelian Chern-Simons terms (parity odd) and Yang-Mills terms (parity even). Moreover, these terms are supplemented by the higher-derivative corrections which resulted in the Alekseev-Arbuzov-Baikov effective action (parity even) plus the higher-derivative (HD) corrections to the Chern-Simons terms (parity odd). In order to highlight some features about the perturbative generation of the effective action, we present a discussion based on the dimensional analysis, which allows us to establish the general structure of the permissible terms to guarantee the gauge invariance of the higher-derivative parts. |
| title | On the gauge invariance of the higher-derivative Yang-Mills-Chern-Simons action |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2404.10134 |