AdS/CFT interpretation of a Virtual Extra Dimension

Physics – General Physics

Scientific paper

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18 pages, minor corrections

Scientific paper

The Lorentz invariant formalism of compact space-time dimensions with periodic boundary conditions provides a semi-classical quantization method in relativistic field theory. As shown in [arXiv:0903.3680], the Feynman path integral emerges as interference between classical paths with different winding numbers associated to the cyclic behavior of the field solutions. In this paper it is shown that such a purely four-dimensional field theory is manifestly dual to an extra-dimensional field theory. The resulting correspondence between extra-dimensional field theory and ordinary quantum field theory can be interpreted in terms of AdS/CFT phenomenology. In fact the relativistic geometrodynamics of the boundary encodes the kinematical information of a particle and can be used to formalize interactions. By applying this idea to a simple Quark-Gluon-Plasma freeze-out model we obtain an analogy with basic aspects of AdS/QCD.

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