One-particle irreducibility of Vilkovisky-DeWitt effective action
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914849069465600 |
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| author | Panda, Sukanta Tinwala, Abbas Jadav, Ketankumar |
| author_facet | Panda, Sukanta Tinwala, Abbas Jadav, Ketankumar |
| contents | The effective action formalism introduced by Vilkovisky and later modified by DeWitt is completely covariant suitable for obtaining an effective action that is independent of the parametrization of the quantum fields. Among a few basic properties of an effective action, one property is that it can be written as a sum of one-particle irreducible diagrams. In this work, we verify this property up to three-loop order for Vilkovisky-Dewitt effective action (VDEA) by solving the equations satisfied by VDEA written down in the original parametrization for non-gauge theories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_16105 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | One-particle irreducibility of Vilkovisky-DeWitt effective action Panda, Sukanta Tinwala, Abbas Jadav, Ketankumar High Energy Physics - Theory Mathematical Physics The effective action formalism introduced by Vilkovisky and later modified by DeWitt is completely covariant suitable for obtaining an effective action that is independent of the parametrization of the quantum fields. Among a few basic properties of an effective action, one property is that it can be written as a sum of one-particle irreducible diagrams. In this work, we verify this property up to three-loop order for Vilkovisky-Dewitt effective action (VDEA) by solving the equations satisfied by VDEA written down in the original parametrization for non-gauge theories. |
| title | One-particle irreducibility of Vilkovisky-DeWitt effective action |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2406.16105 |