Solution of the 5D Einstein equations in a dilaton background model

Details Solution of the 5D Einstein equations in a dilaton background model Solution of the 5D Einstein equations in a dilaton background model

2008-10-15

arxiv.org/abs/0810.2710v2

PoS LC2008:046,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages, Talk in Light Cone 2008 Mulhouse, France

Scientific paper

We obtain an explicit solution of the 5d Einstein equations in a dilaton background model. We demonstrate that for each metric ansatz that only depends on the extra coordinate, it is possible to uniquely determine the dilaton field and its potential consistently with the 5d Einstein equation. In this holographic dual model of QCD, conformal symmetry of the Anti-de-Sitter metric near the 4d boundary is broken by a term that leads to an area law for the Wilson loop. We verify that confinement of the string modes dual to mesons follows from the metric background and the corresponding dilaton solution of the gravity-dilaton coupled equations. In addition, we show that the meson Regge trajectories constrain the metric and corresponding dilaton background within the area law requirement. We can also incorporate asymptotic freedom in the gravity background within the model.

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