The Role of Initial Conditions in Presence of Extra Dimensions

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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LaTex, 11 pages, no figures

Scientific paper

10.1016/S0370-2693(01)01405-8

Quantum field theory in 4+1 dimensional bulk space with boundary, representing a 3-brane, is considered. We study the impact of the initial conditions in the bulk on the field dynamics on the brane. We demonstrate that these conditions determine the Kaluza-Klein measure. We also establish the existence of a rich family of quantum fields on the brane, generated by the same bulk action, but corresponding to different initial conditions. A simple classification of these fields is proposed and it is shown that some of them lead to ultraviolet finite theories, which have some common features with strings.

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