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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.05869 |
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| _version_ | 1866912381809983488 |
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| author | Falls, Kevin |
| author_facet | Falls, Kevin |
| contents | A new fundamental form of the path integral for theories with local symmetry is introduced. It is utilised to construct effective actions that generate correlation functions of dressed fields in Yang-Mills theories and quantum gravity. The construction entails a novel BRST symmetric gauge fixing which imposes that the on-shell correlation functions are those of gauge invariant fields. We demonstrate that the effective actions are gauge and diffeomorphism invariant respectively, with appropriate transformations for the Faddeev-Popov ghosts and Nakanishi-Lautrup fields. As a consistency check, the on-shell one-loop effective actions are shown to take the expected gauge independent form. The effective action which satisfies Zinn-Justin's master equation is also gauge invariant with the anti-fields transforming accordingly. While our choice of gauge will in general be non-linear and non-local, we argue that these gauges are in fact stable under renormalisation if one allows for general renormalised field variables. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_05869 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Gauge invariant effective actions for dressed fields Falls, Kevin High Energy Physics - Theory A new fundamental form of the path integral for theories with local symmetry is introduced. It is utilised to construct effective actions that generate correlation functions of dressed fields in Yang-Mills theories and quantum gravity. The construction entails a novel BRST symmetric gauge fixing which imposes that the on-shell correlation functions are those of gauge invariant fields. We demonstrate that the effective actions are gauge and diffeomorphism invariant respectively, with appropriate transformations for the Faddeev-Popov ghosts and Nakanishi-Lautrup fields. As a consistency check, the on-shell one-loop effective actions are shown to take the expected gauge independent form. The effective action which satisfies Zinn-Justin's master equation is also gauge invariant with the anti-fields transforming accordingly. While our choice of gauge will in general be non-linear and non-local, we argue that these gauges are in fact stable under renormalisation if one allows for general renormalised field variables. |
| title | Gauge invariant effective actions for dressed fields |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2503.05869 |