Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2010-12-22
Physics
High Energy Physics
High Energy Physics - Phenomenology
10 pages, the paper is significantly modified, the relevance of dim2 operator is emphasized
Scientific paper
We propose a new type of bottom-up holographic model describing the Regge like spectrum of mesons. This type of spectrum emerges due to condensation of a scalar field in the bulk anti-de Sitter space. The gauge invariance of the action describing the vector mesons requires that the bulk scalar field must correspond to an operator of canonical dimension two. This is not necessary for the description of the scalar sector where the generation of the mass spectrum can be directly related to the formation of gluon condensate in QCD. It is also demonstrated that such an explicit introduction of local dim2 operator into the model leads to disappearance of the corresponding contribution from the dim2 condensate in the power expansion of the gauge-invariant vector correlator as required by QCD.
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