تقرير
Conformal `anomalies' and renormalized stress-tensor correlators for non-conformal theories
| العنوان: | Conformal `anomalies' and renormalized stress-tensor correlators for non-conformal theories |
|---|---|
| المؤلفون: | Bertolini, Tommaso, Casarin, Lorenzo |
| سنة النشر: | 2024 |
| المجموعة: | High Energy Physics - Theory |
| مصطلحات موضوعية: | High Energy Physics - Theory |
| الوصف: | 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. Comment: 19 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2406.12464 |
| رقم الأكسشن: | edsarx.2406.12464 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |