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- W2012153224 abstract "We study the holographic QCD model, which contains a quadratic term $ensuremath{-}ensuremath{sigma}{z}^{2}$ and a logarithmic term $ensuremath{-}{c}_{0}mathrm{log}[({z}_{mathrm{IR}}ensuremath{-}z)/{z}_{mathrm{IR}}]$ with an explicit infrared cutoff ${z}_{mathrm{IR}}$ in the deformed ${mathrm{AdS}}_{5}$ warp factor. We investigate the heavy-quark potential for three cases, i.e., with only a quadratic correction, with both quadratic and logarithmic corrections, and with only a logarithmic correction. We solve the dilaton field and dilation potential from the Einstein equation and investigate the corresponding beta function in the Gursoy-Kiritsis-Nitti framework. Our studies show that in the case with only a quadratic correction, a negative $ensuremath{sigma}$ or the Andreev-Zakharov model is favored to fit the heavy-quark potential and to produce the QCD beta function at 2-loop level; however, the dilaton potential is unbounded in the infrared regime. One interesting observation for the case of positive $ensuremath{sigma}$ is that the corresponding beta function exists in an infrared fixed point. In the case with only a logarithmic correction, the heavy-quark Cornell potential can be fitted very well, the corresponding beta function agrees with the QCD beta function at 2-loop level reasonably well, and the dilaton potential is bounded from below in the infrared. At the end, we propose a more compact model which has only a logarithmic correction in the deformed warp factor and has less free parameters." @default.
- W2012153224 created "2016-06-24" @default.
- W2012153224 creator A5005974219 @default.
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- W2012153224 date "2011-02-25" @default.
- W2012153224 modified "2023-09-30" @default.
- W2012153224 title "Logarithmic correction in the deformed<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:msub><mml:mi>AdS</mml:mi><mml:mn>5</mml:mn></mml:msub></mml:math>model to produce the heavy quark potential and QCD beta function" @default.
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- W2012153224 doi "https://doi.org/10.1103/physrevd.83.045034" @default.
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