Propagators in AdS for higher-derivative and nonlocal gravity: Heat kernel approach

Kód výsledku v 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>

Nalezeny alternativní kódy

RIV/00216208:11320/25:10505677

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Propagators in AdS for higher-derivative and nonlocal gravity: Heat kernel approach

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Propagators in AdS for higher-derivative and nonlocal gravity: Heat kernel approach

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10303 - Particles and field physics

Projekt

<a href="/cs/project/GA25-15544S" target="_blank" >GA25-15544S: Černé díry a dvojitá kopie v teoriích gravitace</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2025

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

European Physical Journal C

ISSN

1434-6044

e-ISSN

1434-6052

Svazek periodika

85

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

33

Strana od-do

171

Kód UT WoS článku

001418238000001

EID výsledku v databázi Scopus

2-s2.0-85219751146