Running of the number of degrees of freedom in quantum conformal gravity

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F24%3A00379101" target="_blank" >RIV/68407700:21340/24:00379101 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1140/epjc/s10052-024-13314-3" target="_blank" >https://doi.org/10.1140/epjc/s10052-024-13314-3</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1140/epjc/s10052-024-13314-3" target="_blank" >10.1140/epjc/s10052-024-13314-3</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Running of the number of degrees of freedom in quantum conformal gravity

Popis výsledku v původním jazyce

We study how the number of degrees of freedom in Weyl conformal gravity runs with the energy scale from the UV fixed point. To this end we employ two approaches. First, we utilize the Fradkin-Tseytlin prescription for the number of degrees of freedom and demonstrate that the one-loop result is highly dependent on the selected background. We then employ the counting methodology based on the a- and c-function, which are typically used to characterize the trace anomaly of conformal field theories in four dimensions. We compute these in the enhanced one-loop approximation and demonstrate that the degrees of freedom decrease monotonically from six degrees in the UV regime. This behavior is independent of the backgrounds considered. Further salient issues, such as the connection between the Fradkin-Tseytlin prescription and counting based on the a- and c-function, or the applicability of both methods in Einstein's gravity, are also addressed.

Název v anglickém jazyce

Running of the number of degrees of freedom in quantum conformal gravity

Popis výsledku anglicky

We study how the number of degrees of freedom in Weyl conformal gravity runs with the energy scale from the UV fixed point. To this end we employ two approaches. First, we utilize the Fradkin-Tseytlin prescription for the number of degrees of freedom and demonstrate that the one-loop result is highly dependent on the selected background. We then employ the counting methodology based on the a- and c-function, which are typically used to characterize the trace anomaly of conformal field theories in four dimensions. We compute these in the enhanced one-loop approximation and demonstrate that the degrees of freedom decrease monotonically from six degrees in the UV regime. This behavior is independent of the backgrounds considered. Further salient issues, such as the connection between the Fradkin-Tseytlin prescription and counting based on the a- and c-function, or the applicability of both methods in Einstein's gravity, are also addressed.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10100 - Mathematics

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2024

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

84

Číslo periodika v rámci svazku

9

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

20

Strana od-do

1-20

Kód UT WoS článku

001366817900032

EID výsledku v databázi Scopus

2-s2.0-85205711816