Details
| Original language | English |
|---|---|
| Article number | 025014 |
| Journal | Physical Review D |
| Volume | 108 |
| Issue number | 2 |
| Publication status | Published - 24 Jul 2023 |
Abstract
We compute the conformal anomalies for some higher-derivative (nonunitary) 6D Weyl invariant theories using the heat-kernel expansion in the background-field method. To this aim we obtain the general expression for the Seeley-DeWitt coefficient b6 for 4-derivative differential operators with background curved geometry and gauge fields, which was known only in flat space so far. We consider 4-derivative scalars and Abelian vectors as well as 3-derivative fermions, confirming the result of the literature obtained via indirect methods. We generalize the vector case by including the curvature coupling FFWeyl.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Physical Review D, Vol. 108, No. 2, 025014, 24.07.2023.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Conformal anomalies in 6D four-derivative theories
T2 - A heat-kernel analysis
AU - Casarin, Lorenzo
PY - 2023/7/24
Y1 - 2023/7/24
N2 - We compute the conformal anomalies for some higher-derivative (nonunitary) 6D Weyl invariant theories using the heat-kernel expansion in the background-field method. To this aim we obtain the general expression for the Seeley-DeWitt coefficient b6 for 4-derivative differential operators with background curved geometry and gauge fields, which was known only in flat space so far. We consider 4-derivative scalars and Abelian vectors as well as 3-derivative fermions, confirming the result of the literature obtained via indirect methods. We generalize the vector case by including the curvature coupling FFWeyl.
AB - We compute the conformal anomalies for some higher-derivative (nonunitary) 6D Weyl invariant theories using the heat-kernel expansion in the background-field method. To this aim we obtain the general expression for the Seeley-DeWitt coefficient b6 for 4-derivative differential operators with background curved geometry and gauge fields, which was known only in flat space so far. We consider 4-derivative scalars and Abelian vectors as well as 3-derivative fermions, confirming the result of the literature obtained via indirect methods. We generalize the vector case by including the curvature coupling FFWeyl.
UR - http://www.scopus.com/inward/record.url?scp=85166758735&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2306.05944
DO - 10.48550/arXiv.2306.05944
M3 - Article
AN - SCOPUS:85166758735
VL - 108
JO - Physical Review D
JF - Physical Review D
SN - 2470-0010
IS - 2
M1 - 025014
ER -