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Holographic QCD Running Coupling for Heavy Quarks in Strong Magnetic Field

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arxiv 2503.07521 v2 pith:RBWFL2EN submitted 2025-03-10 hep-th hep-ph

classification hep-thhep-ph
keywords fieldheavymagneticalphacouplingrunningchemicalholographic
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We investigate the influence of a magnetic field on the running coupling constant for a heavy-quark model in a bottom-up holographic approach. To achieve this, we employ a magnetized Einstein-Maxwell-dilaton background that captures the essential features of heavy quark dynamics. Similar to the light-quark model, the running coupling $\alpha$ for heavy quarks decreases in the presence of a strong external magnetic field at fixed temperature and chemical potential. The key distinction between the light and heavy quark models lies in the locations of their respective phase transitions. However, near the 1st order phase transitions, the behavior of $\alpha$ is analogous for both cases: $\alpha$ exhibits jumps that depend on temperature, chemical potential, and magnetic field strength.

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  1. Phase Diagram Magnetic Features of Holographic Anisotropic Model for $z^4$-term Heavy Quarks

    hep-th 2025-05 conditional novelty 4.0 of 10

    The z^4 anisotropic holographic heavy-quark model exhibits direct magnetic catalysis in both its first-order phase transition and its temporal-Wilson-loop crossover, and the string tension weakens sharply with magnetic field.

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