We use the functional form of the QCD running coupling to modify the conformal metric in AdS/CFT mapping the fifth-dimensional z-coordinate to the energy scale in the four-dimensional QCD. The resulting type-0 string theory in five dimensions is solved with the Nambu–Goto action giving good agreement with the Coulombic and confinement QQ¯ potential.
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Pirner et al. (2009) studied this question.
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