Universal behavior of generalized causal set d’Alembertians in curved spacetime

DOI10.1088/0264-9381/33/13/135011zbMATH Open1346.83008arXiv1510.04665OpenAlexW3106036988MaRDI QIDQ3188385

Publication date: 19 August 2016

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Abstract: Causal set non-local wave operators allow both for the definition of an action for Causal set theory and the study of deviations from local physics that may have interesting phenomenological consequences. It was previously shown that, in all dimensions, the (unique) minimal discrete operators give averaged continuum non-local operators that reduce to

B o x - R / 2

in the local limit. Recently, dropping the constraint of minimality, it was shown that there exist an infinite number of discrete operators satisfying basic physical requirements and with the right local limit in flat spacetime. In this work, we consider this entire class of Generalized Causal set d'Alembertins in curved spacetimes and extend to them the result about the universality of the

- R / 2

factor. Finally, we comment on the relation of this result to the Einstein Equivalence principle.

Full work available at URL: https://arxiv.org/abs/1510.04665

zbMATH Keywords

non-locality causal set Einstein equivalence principle d'Alembertian

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Quantization of the gravitational field (83C45) Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory (83C27) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Equations of motion in general relativity and gravitational theory (83C10)