https://doi.org/10.1140/epjc/s10052-018-6208-z
Regular Article - Theoretical Physics
Scale holography
1
Departamento de Física Teórica, Universidad Complutense de Madrid, 28040, Madrid, Spain
2
Instituto de Estructura de la Materia (IEM-CSIC), Serrano 121, 28006, Madrid, Spain
3
Institut für Theoretische Physik, Ruprecht-Karls-Universität Heidelberg, Philosophenweg 16, 69120, Heidelberg, Germany
* e-mail: cembra@ucm.es
Received:
19
March
2018
Accepted:
3
September
2018
Published online:
11
September
2018
We present a new correspondence between a d-dimensional dynamical system and a family of higher-order derivative 
-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.
© The Author(s), 2018
