26 citations · 50 across the 12 of their papers we have counts for
13 papers
The causal set reduction formula
Stav Zalel
We derive a reduction formula for matrix elements on a causal set background. We derive an infinite tower of relations between correlators, akin to the Schwinger-Dyson equations of…
Sizes of witnesses in Covtree
Jette Gutzeit, Kimia Shaban, Karen Yeats +1
Given a set of unlabelled posets, each of size , we say that a poset is a \emph{witness} to if is the set of downsets of size of . We say that is…
In-in correlators and scattering amplitudes on a causal set
Emma Albertini, Fay Dowker, Arad Nasiri +1
Causal set theory is an approach to quantum gravity in which spacetime is fundamentally discrete at the Planck scale and takes the form of a Lorentzian lattice, or "causal set", fr…
Hopf algebras from poset growth models
Karen Yeats, Stav Zalel
We give a framework for growth models on posets which simultaneously generalizes the Classical Sequential Growth models for posets from causal set theory and the tree growth models…
Covariant Growth Dynamics
Stav Zalel
The spacetime discreteness of causal set theory has enabled the formulation of novel spacetime dynamics. In these so-called "growth" dynamics, a causal set spacetime is generated p…
Observables for cyclic causal set cosmologies
Fay Dowker, Stav Zalel
In causal set theory, cycles of cosmic expansion and collapse are modelled by causal sets with "breaks" and "posts" and a special role is played by cyclic dynamics in which the uni…
If time had no beginning
Bruno Valeixo Bento, Stav Zalel
General Relativity traces the evolution of our Universe back to a Big Bang singularity. To probe physics before the singularity -- if indeed there is a ``before'' -- we must turn t…
If time had no beginning: growth dynamics for past-infinite causal sets
Bruno Valeixo Bento, Fay Dowker, Stav Zalel
We explore whether the growth dynamics paradigm of Causal Set Theory is compatible with past-infinite causal sets. We modify the Classical Sequential Growth dynamics of Rideout and…
The structure of covtree: searching for manifestly covariant causal set dynamics
Stav Zalel
Covtree - a partial order on certain sets of finite, unlabeled causal sets - is a manifestly covariant framework for causal set dynamics. Here, as a first step in picking out a cla…
Dirac, Majorana, Weyl in 4d
L. Bonora, R. Soldati, S. Zalel
This is a review of some elementary properties of Dirac, Weyl and Majorana spinors in 4d. We focus in particular on the differences between massless Dirac and Majorana fermions, on…
A Criterion for Covariance in Complex Sequential Growth Models
Sumati Surya, Stav Zalel
The classical sequential growth model for causal sets provides a template for the dynamics in the deep quantum regime. This growth dynamics is intrinsically temporal and causal, wi…
A manifestly covariant framework for causal set dynamics
Fay Dowker, Nazireen Imambaccus, Amelia Owens +2
We propose a manifestly covariant framework for causal set dynamics. The framework is based on a structure, dubbed covtree, which is a partial order on certain sets of finite, unla…
Evolution of Universes in Causal Set Cosmology
Fay Dowker, Stav Zalel
The causal set approach to the problem of quantum gravity is based on the hypothesis that spacetime is fundamentally discrete. Spacetime discreteness opens the door to novel types…