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Abstract: We obtain an explicit solution of the 5d Einstein equations in a dilatonbackground model. We demonstrate that for each metric ansatz that only dependson the extra coordinate, it is possible to uniquely determine the dilaton fieldand its potential consistently with the 5d Einstein equation. In thisholographic dual model of QCD, conformal symmetry of the Anti-de-Sitter metricnear the 4d boundary is broken by a term that leads to an area law for theWilson loop. We verify that confinement of the string modes dual to mesonsfollows from the metric background and the corresponding dilaton solution ofthe gravity-dilaton coupled equations. In addition, we show that the mesonRegge trajectories constrain the metric and corresponding dilaton backgroundwithin the area law requirement. We can also incorporate asymptotic freedom inthe gravity background within the model.



Autor: W. de Paula 1, T. Frederico 1, H. Forkel 2, M. Beyer 3 1 Dep. de Física, Instituto Tecnológico de Aeronáutica, CTA, São José

Fuente: https://arxiv.org/







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