Spectral Dimension from Nonlocal Dynamics on Causal Sets

Phys. Rev. D 93, 044017 (2016) 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 withi...

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Bibliographic Details
Main Authors: Belenchia, Alessio, Benincasa, Dionigi M. T, Marciano, Antonino, Modesto, Leonardo
Format: Journal Article
Language:English
Published: 25-01-2016
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Summary:Phys. Rev. D 93, 044017 (2016) 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.
DOI:10.48550/arxiv.1507.00330