Conformal `anomalies' and renormalized stress-tensor correlators for non-conformal theories
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866911924059373568 |
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| author | Bertolini, Tommaso Casarin, Lorenzo |
| author_facet | Bertolini, Tommaso Casarin, Lorenzo |
| contents | We analyse the proposal of defining the Weyl anomaly for classically non-conformal theories as $g^{mn} \langle T_{mn}\rangle - \langle g^{mn} T_{mn} \rangle$, originally put forward by M. Duff, in the case of a scalar field with quartic self-interaction in 4d. We work in the context of dimensional regularization in curved background to two-loops (first order in the coupling). We review the original regularized but not renormalized prescription and its ambiguities; we argue that it cannot be extended to the interacting theory as it fails to provide a finite result. We then propose an alternative prescription via renormalized expectation values. At one-loop our candidate reproduces the local heat kernel result, while its extension to interacting theories contains non-local contributions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_12464 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Conformal `anomalies' and renormalized stress-tensor correlators for non-conformal theories Bertolini, Tommaso Casarin, Lorenzo High Energy Physics - Theory We analyse the proposal of defining the Weyl anomaly for classically non-conformal theories as $g^{mn} \langle T_{mn}\rangle - \langle g^{mn} T_{mn} \rangle$, originally put forward by M. Duff, in the case of a scalar field with quartic self-interaction in 4d. We work in the context of dimensional regularization in curved background to two-loops (first order in the coupling). We review the original regularized but not renormalized prescription and its ambiguities; we argue that it cannot be extended to the interacting theory as it fails to provide a finite result. We then propose an alternative prescription via renormalized expectation values. At one-loop our candidate reproduces the local heat kernel result, while its extension to interacting theories contains non-local contributions. |
| title | Conformal `anomalies' and renormalized stress-tensor correlators for non-conformal theories |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2406.12464 |