Running of the number of degrees of freedom in quantum conformal gravity
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Running of the number of degrees of freedom in quantum conformal gravity
Original language description
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.
Czech name
—
Czech description
—
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
10100 - Mathematics
Result continuities
Project
—
Continuities
S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2024
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
84
Issue of the periodical within the volume
9
Country of publishing house
DE - GERMANY
Number of pages
20
Pages from-to
1-20
UT code for WoS article
001366817900032
EID of the result in the Scopus database
2-s2.0-85205711816