Propagators in AdS for higher-derivative and nonlocal gravity: Heat kernel approach
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F25%3A00617567" target="_blank" >RIV/67985840:_____/25:00617567 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11320/25:10505677
Result on the web
<a href="https://doi.org/10.1140/epjc/s10052-025-13769-y" target="_blank" >https://doi.org/10.1140/epjc/s10052-025-13769-y</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1140/epjc/s10052-025-13769-y" target="_blank" >10.1140/epjc/s10052-025-13769-y</a>
Alternative languages
Result language
angličtina
Original language name
Propagators in AdS for higher-derivative and nonlocal gravity: Heat kernel approach
Original language description
We present a new covariant method of construction of the (position space) propagators in the N-dimensional (Euclidean) anti-de Sitter background for any gravitational theory with the Lagrangian that is an analytic expression in the metric, curvature, and covariant derivative. We show that the propagators (in Landau gauge) for all such theories can be expressed using the heat kernels for scalars and symmetric transverse-traceless rank-2 tensors on the hyperbolic N-space. The latter heat kernels are constructed explicitly and shown to be directly related to the former if an improved bi-scalar representation is used. Our heat kernel approach is first tested on general relativity, where we find equivalent forms of the propagators. Then it is used to obtain explicit expressions for propagators for various higher-derivative as well as infinite-derivative/nonlocal theories of gravity. As a by-product, we also provide a new derivation of the equivalent action (correcting a mistake in the original derivation) and an extension of the quadratic action to arbitrary N>=3 dimensions.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10303 - Particles and field physics
Result continuities
Project
<a href="/en/project/GA25-15544S" target="_blank" >GA25-15544S: Black holes and double copy in theories of gravity</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
European Physical Journal C
ISSN
1434-6044
e-ISSN
1434-6052
Volume of the periodical
85
Issue of the periodical within the volume
2
Country of publishing house
DE - GERMANY
Number of pages
33
Pages from-to
171
UT code for WoS article
001418238000001
EID of the result in the Scopus database
2-s2.0-85219751146