Scale holography

We present a new correspondence between a d-dimensional dynamical system and a family of higher-order derivative $$(d+1)$$(d+1)-dimensional systems. This new scale-holographic relation is built by the explicit introduction of a dimensionful constant which determines the size of the additional dimens...

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Bibliographic Details
Main Authors: Cembranos, José A. R. (Author) , Ciarreta, Salvador Enrique Ramirez (Author) , Garay Salamanca, Luis Jorge (Author)
Format: Article (Journal)
Language:English
Published: 11. September 2018
In: The European physical journal. C, Particles and fields
Year: 2018, Volume: 78, Issue: 9
ISSN:1434-6052
DOI:10.1140/epjc/s10052-018-6208-z
Online Access:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1140/epjc/s10052-018-6208-z
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Author Notes:José A.R. Cembranos, Salvador E.R. Ciarreta, Luis J. Garay
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Summary:We present a new correspondence between a d-dimensional dynamical system and a family of higher-order derivative $$(d+1)$$(d+1)-dimensional systems. This new scale-holographic relation is built by the explicit introduction of a dimensionful constant which determines the size of the additional dimension. Scale holography is particularly useful for studying non-local theories, since the equivalent dual system on the higher dimensional manifold can be made to be local, as we illustrate with the specific examples of the p-adic string theory and the free particle.
Item Description:Gesehen am 02.12.2020
Physical Description:Online Resource
ISSN:1434-6052
DOI:10.1140/epjc/s10052-018-6208-z