Title:	Echoes of asymptotic silence in causal set quantum gravity.
Authors:	Eichhorn, Astrid Mizera, Sebastian Surya, Sumati
Keywords:	dimensional reduction
Issue Date:	Aug-2017
Publisher:	IOP Publishing Ltd.
Citation:	Classical and Quantum Gravity, 2017, Vol.34, p16LT01
Abstract:	We explore the idea of asymptotic silence in causal set theory and find that causal sets approximated by continuum spacetimes exhibit behaviour akin to asymptotic silence. We make use of an intrinsic definition of spatial distance between causal set elements in the discrete analogue of a spatial hypersurface. Using numerical simulations for causal sets approximated by D=2,3 and 4 dimensional Minkowski spacetime, we show that while the discrete distance rapidly converges to the continuum distance at a scale roughly an order of magnitude larger than the discreteness scale, it is significantly larger on small scales. This allows us to define an effective dimension which exhibits dimensional reduction in the ultraviolet, while monotonically increasing to the continuum dimension with increasing continuum distance. We interpret these findings as manifestations of asymptotic silence in causal set theory.
Description:	Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations)
URI:	http://hdl.handle.net/2289/6831
ISSN:	0264-9381 1361-6382 (E)
Alternative Location:	http://arxiv.org/abs/1703.08454 http://dx.doi.org/10.1088/1361-6382/aa7d1b http://adsabs.harvard.edu/abs/2017CQGra..34pLT01E
Copyright:	2017 IOP Publishing Ltd.
Appears in Collections:	Research Papers (TP)

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