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Teoreticheskaya i Matematicheskaya Fizika, 2024, Volume 221, Number 3, Pages 615–628
DOI: https://doi.org/10.4213/tmf10794
(Mi tmf10794)
 

Beta-function dependence on the running coupling in holographic QCD models

I. Ya. Aref'eva, A. Hajilou, P. S. Slepov, M. K. Usova

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
References:
Abstract: We study the dependence of the beta-function on the running coupling constant in holographic models supported by the Einstein–dilaton–Maxwell action for light and heavy quarks. The dilaton defines the running coupling of the models. Its dependence on boundary conditions leads to the running coupling dependence on them. However, the behavior of the $\beta$-function as a function of the running coupling does not depend significantly on the boundary condition. The corresponding $\beta$-functions are negative and monotonically decreasing functions, and have jumps at first-order phase transitions for both light and heavy quarks. In addition, we compare our holographic results for the $\beta$-function as a function of the running coupling with perturbative results obtained within $2$-loop calculations.
Keywords: AdS/QCD, holography, beta-function, running coupling, light quark, heavy quark.
Funding agency Grant number
Russian Science Foundation 20-12-00200
Ministry of Science and Higher Education of the Russian Federation 075-15-2022-265
The work of I. Ya. Arefyeva, P. S. Slepov and M. K. Usova, which consisted of the general formulation of the project, the study of the beta function of the light quarks model, and the comparison of light and heavy quarks, was supported by the Russian Science Foundation under grant No. 20-12-00200, https://rscf.ru/en/project/20-12-00200/. The work of A. Hadjilu, which consisted of the study of the beta function for heavy quarks, was performed at the Steklov International Mathematical Center and supported by the Ministry of Science and Higher Education of the Russian Federation (agreement No. 075-15-2022-265).
Received: 19.07.2024
Revised: 19.07.2024
English version:
Theoretical and Mathematical Physics, 2024, Volume 221, Issue 3, Pages 2132–2143
DOI: https://doi.org/10.1134/S0040577924120080
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: I. Ya. Aref'eva, A. Hajilou, P. S. Slepov, M. K. Usova, “Beta-function dependence on the running coupling in holographic QCD models”, TMF, 221:3 (2024), 615–628; Theoret. and Math. Phys., 221:3 (2024), 2132–2143
Citation in format AMSBIB
\Bibitem{AreHajSle24}
\by I.~Ya.~Aref'eva, A.~Hajilou, P.~S.~Slepov, M.~K.~Usova
\paper Beta-function dependence on the~running coupling in holographic QCD models
\jour TMF
\yr 2024
\vol 221
\issue 3
\pages 615--628
\mathnet{http://mi.mathnet.ru/tmf10794}
\crossref{https://doi.org/10.4213/tmf10794}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4843345}
\transl
\jour Theoret. and Math. Phys.
\yr 2024
\vol 221
\issue 3
\pages 2132--2143
\crossref{https://doi.org/10.1134/S0040577924120080}
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  • https://doi.org/10.4213/tmf10794
  • https://www.mathnet.ru/eng/tmf/v221/i3/p615
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    Теоретическая и математическая физика Theoretical and Mathematical Physics
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