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arXiv · 2407.14448

Beta-Function Dependence on Running Coupling in Holographic QCD Models

Irina Ya. Aref'eva·Ali Hajilou·Pavel Slepov·Marina Usova
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Abstract

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 $\beta$-function as a function of running coupling does not depend significantly on the boundary condition, we chose one. The corresponding $\beta$-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 $\beta$-function as a function of running coupling with perturbation results that obtained within 2-loop calculations.

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Irina Ya. Aref'eva, Ali Hajilou, Pavel Slepov, Marina Usova. 2024-07-19. Beta-Function Dependence on Running Coupling in Holographic QCD Models. https://arxiv.org/abs/2407.14448

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