Comments on the gauge dependence of the effective potential and the utility of the Vilkovisky-DeWitt formalism
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866908648997912576 |
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| author | Collison, Daniel W. Kobakhidze, Archil |
| author_facet | Collison, Daniel W. Kobakhidze, Archil |
| contents | We provide some additional comments on the long-lived discussions surrounding an effective action and potential plagued by a number of ambiguities. We reinforce the importance of an extra condition on the gauge-fixing function, namely the vanishing of its vacuum expectation value in the absence of external sources, when concluding gauge-independence of the effective action and potential at an extremum. We advocate for the alternative construction of the effective action and potential based on the Vilkovisky-DeWitt approach, and demonstrate its independence from the gauge-fixing parameter. We also exhibit a high-temperature generalisation of this alternative construction in the specific case of the Abelian-Higgs model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_09795 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Comments on the gauge dependence of the effective potential and the utility of the Vilkovisky-DeWitt formalism Collison, Daniel W. Kobakhidze, Archil High Energy Physics - Theory We provide some additional comments on the long-lived discussions surrounding an effective action and potential plagued by a number of ambiguities. We reinforce the importance of an extra condition on the gauge-fixing function, namely the vanishing of its vacuum expectation value in the absence of external sources, when concluding gauge-independence of the effective action and potential at an extremum. We advocate for the alternative construction of the effective action and potential based on the Vilkovisky-DeWitt approach, and demonstrate its independence from the gauge-fixing parameter. We also exhibit a high-temperature generalisation of this alternative construction in the specific case of the Abelian-Higgs model. |
| title | Comments on the gauge dependence of the effective potential and the utility of the Vilkovisky-DeWitt formalism |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2511.09795 |