1110.0316 (Donatello Dolce)

Classical geometry to quantum behavior correspondence in a Virtual Extra
Dimension    [PDF]

Donatello Dolce

In the Lorentz invariant formalism of compact space-time dimensions the assumption of periodic boundary conditions represents a consistent semi-classical quantization condition for relativistic fields. In [arXiv:0903.3680] we have shown, for instance, that the ordinary Feynman path integral is obtained from the interference between the classical paths with different winding numbers associated to the cyclic dynamics of the field solutions. Through the boundary conditions, the kinematical information of interactions can be encoded on the relativistic geometrodynamics of the boundary [arXiv:1110.0315]. Furthermore, such a purely four-dimensional theory is manifestly dual to an extra-dimensional field theory. The resulting correspondence between extra-dimensional geometrodynamics and ordinary quantum behavior can be interpreted in terms of AdS/CFT correspondence. By applying this approach to a simple Quark-Gluon-Plasma freeze-out model we will obtain fundamental analogies with basic aspects of AdS/QCD phenomenology.

View original: http://arxiv.org/abs/1110.0316