Details
| Original language | English |
|---|---|
| Article number | 045007 |
| Number of pages | 13 |
| Journal | Physical Review D |
| Volume | 110 |
| Issue number | 4 |
| Publication status | Published - 6 Aug 2024 |
Abstract
We analyze the proposal of defining the Weyl anomaly for classically nonconformal theories as gmn«Tmn»-«gmnTmn», originally put forward by 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 nonlocal contributions.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Physical Review D, Vol. 110, No. 4, 045007, 06.08.2024.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Conformal anomalies and renormalized stress tensor correlators for nonconformal theories
AU - Bertolini, Tommaso
AU - Casarin, Lorenzo
N1 - Publisher Copyright: © 2024 authors.
PY - 2024/8/6
Y1 - 2024/8/6
N2 - We analyze the proposal of defining the Weyl anomaly for classically nonconformal theories as gmn«Tmn»-«gmnTmn», originally put forward by 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 nonlocal contributions.
AB - We analyze the proposal of defining the Weyl anomaly for classically nonconformal theories as gmn«Tmn»-«gmnTmn», originally put forward by 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 nonlocal contributions.
UR - http://www.scopus.com/inward/record.url?scp=85200919042&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2406.12464
DO - 10.48550/arXiv.2406.12464
M3 - Article
AN - SCOPUS:85200919042
VL - 110
JO - Physical Review D
JF - Physical Review D
SN - 2470-0010
IS - 4
M1 - 045007
ER -