Complex 2D Matrix Model and Geometrical Map on Complex-Nc Plane

Details Complex 2D Matrix Model and Geometrical Map on Complex-Nc Plane Complex 2D Matrix Model and Geometrical Map on Complex-Nc Plane

2011-09-02

arxiv.org/abs/1109.0426v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

5 pages, 3 figures

Scientific paper

We formulate the Complex two-dimensional (2D) Matrix Model to discuss the adiabatic transition between two levels for complex energy states along with change of a real interaction parameter lambda. By extending lambda to a complex variable, we find that the adiabatic transition is controlled by the geometry on the complex-lambda plane. We apply the model to hadron physics governed by the quantum chromodynamic (QCD) with color number Nc=3. We give clear understanding of the internal structure of hadrons including exotic component in QCD in comparison to that in large-Nc QCD from the viewpoint of geometry on the complex-Nc plane. For the large-Nc effective theory, we employ the holographic QCD with D4/D8/D8-bar multi-D brane system in the type IIA superstring theory.

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