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arXiv · 1507.00330

Spectral Dimension from Nonlocal Dynamics on Causal Sets

Alessio Belenchia·Dionigi M. T. Benincasa·Antonino Marciano·Leonardo Modesto
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Abstract

We investigate the spectral dimension obtained from non-local continuum d'Alembertians derived from causal sets. We find a universal dimensional reduction to 2 dimensions, in all dimensions. We conclude by discussing the validity and relevance of our results within the broader context of quantum field theories based on these nonlocal dynamics.

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Alessio Belenchia, Dionigi M. T. Benincasa, Antonino Marciano, Leonardo Modesto. 2015-07-01. Spectral Dimension from Nonlocal Dynamics on Causal Sets. https://doi.org/10.1103/physrevd.93.044017

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