A Lorentzian renormalisation group equation for gauge theories
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866916601470648320 |
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| author | D'Angelo, Edoardo Rejzner, Kasia |
| author_facet | D'Angelo, Edoardo Rejzner, Kasia |
| contents | In a recent paper, with Drago and Pinamonti we have introduced a Wetterich-type flow equation for scalar fields on Lorentzian manifolds, using the algebraic approach to perturbative QFT. The equation governs the flow of the effective average action, under changes of a mass parameter k. Here we introduce an analogous flow equation for gauge theories, with the aid of the Batalin-Vilkovisky (BV) formalism. We also show that the corresponding effective average action satisfies a Slavnov-Taylor identity in Zinn-Justin form. We interpret the equation as a cohomological constraint on the functional form of the effective average action, and we show that it is consistent with the flow. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2303_01479 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A Lorentzian renormalisation group equation for gauge theories D'Angelo, Edoardo Rejzner, Kasia Mathematical Physics General Relativity and Quantum Cosmology High Energy Physics - Theory In a recent paper, with Drago and Pinamonti we have introduced a Wetterich-type flow equation for scalar fields on Lorentzian manifolds, using the algebraic approach to perturbative QFT. The equation governs the flow of the effective average action, under changes of a mass parameter k. Here we introduce an analogous flow equation for gauge theories, with the aid of the Batalin-Vilkovisky (BV) formalism. We also show that the corresponding effective average action satisfies a Slavnov-Taylor identity in Zinn-Justin form. We interpret the equation as a cohomological constraint on the functional form of the effective average action, and we show that it is consistent with the flow. |
| title | A Lorentzian renormalisation group equation for gauge theories |
| topic | Mathematical Physics General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2303.01479 |