Spectral Dimension from Nonlocal Dynamics on Causal Sets

Autor: Belenchia, Alessio, Benincasa, Dionigi M. T., Marciano, Antonino, Modesto, Leonardo
Rok vydání: 2015
Předmět:
Zdroj: Phys. Rev. D 93, 044017 (2016)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevD.93.044017
Popis: 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.
Comment: 7 pages, 2 figures, version accepted for publication in Phys. Rev. D
Databáze: arXiv