Beta-Function Dependence on Running Coupling in Holographic QCD Models
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866929427942735872 |
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| author | Aref'eva, Irina Ya. Hajilou, Ali Slepov, Pavel Usova, Marina |
| author_facet | Aref'eva, Irina Ya. Hajilou, Ali Slepov, Pavel Usova, Marina |
| contents | We study the dependence of beta-function on running coupling constant in holographic models supported by Einstein-dilaton-Maxwell action for light and heavy quarks. Although, in the previous paper [arXiv:2402.14512], we considered different types of the dilaton boundary conditions, but since the behavior of $β$-function as a function of running coupling does not depend significantly on the boundary condition, we chose one. The corresponding $β$-functions are negative and monotonically decreasing functions, and have jumps on the 1-st order phase transitions for both light and heavy quarks. In addition, we compare our holographic results for $β$-function as a function of running coupling with perturbation results that obtained within 2-loop calculations. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2407_14448 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Beta-Function Dependence on Running Coupling in Holographic QCD Models Aref'eva, Irina Ya. Hajilou, Ali Slepov, Pavel Usova, Marina High Energy Physics - Theory High Energy Physics - Phenomenology We study the dependence of beta-function on running coupling constant in holographic models supported by Einstein-dilaton-Maxwell action for light and heavy quarks. Although, in the previous paper [arXiv:2402.14512], we considered different types of the dilaton boundary conditions, but since the behavior of $β$-function as a function of running coupling does not depend significantly on the boundary condition, we chose one. The corresponding $β$-functions are negative and monotonically decreasing functions, and have jumps on the 1-st order phase transitions for both light and heavy quarks. In addition, we compare our holographic results for $β$-function as a function of running coupling with perturbation results that obtained within 2-loop calculations. |
| title | Beta-Function Dependence on Running Coupling in Holographic QCD Models |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2407.14448 |