82 citations · 475 across the 20 of their papers we have counts for
13 papers · 1 filter
Computer Simulations of Causal Sets
L Glaser
This review introduces Markov Chain Monte Carlo simulations in causal set theory, with a focus on the study of the 2d orders. It will first introduce the Benincasa-Dowker action on…
Phase transitions in 2d orders coupled to the Ising model
Lisa Glaser
The d orders are a sub class of causal sets, which is especially amenable to computer simulations. Past work has shown that the d orders have a first order phase transition b…
Spectral estimators for finite non-commutative geometries
John W. Barrett, Paul Druce, Lisa Glaser
A finite non-commutative geometry consists of a fuzzy space together with a Dirac operator satisfying the axioms of a real spectral triple. This paper addreses the question of how…
Quantum Gravity on the computer: Impressions of a workshop
Lisa Glaser, Sebastian Steinhaus
Computer simulations allow us to explore non-perturbative phenomena in physics. This has the potential to help us understand quantum gravity. Finding a theory of quantum gravity is…
The Ising model coupled to 2d orders
Lisa Glaser
In this article we make first steps in coupling matter to causal set theory in the path integral. We explore the case of the Ising model coupled to the 2d discrete Einstein Hilbert…
Finite Size Scaling in 2d Causal Set Quantum Gravity
Lisa Glaser, Denjoe O'Connor, Sumati Surya
We study the -dependent behaviour of causal set quantum gravity. This theory is known to exhibit a phase transition as the analytic continuation parameter , aki…
CDT and Cosmology
L. Glaser, R. Loll
In the approach of Causal Dynamical Triangulations (CDT), quantum gravity is obtained as a scaling limit of a non-perturbative path integral over space-times whose causal structure…
Scaling behaviour in random non-commutative geometries
Lisa Glaser
Random non-commutative geometries are a novel approach to taking a non-perturbative path integral over geometries. They were introduced in arxiv.org/abs/1510.01377, where a first e…
Monte Carlo simulations of random non-commutative geometries
John W. Barrett, Lisa Glaser
Random non-commutative geometries are introduced by integrating over the space of Dirac operators that form a spectral triple with a fixed algebra and Hilbert space. The cases with…
The Hartle-Hawking wave function in 2d causal set quantum gravity
Lisa Glaser, Sumati Surya
We define the Hartle-Hawking no-boundary wave function for causal set theory (CST) over the discrete analogs of spacelike hypersurfaces. Using Markov Chain Monte Carlo and numerica…
Endeavours in Discrete Lorentzian Geometry; A thesis in five papers
Lisa Glaser
To solve the path integral for quantum gravity, one needs to regularise the space-times that are summed over. This regularisation usually is a discretisation, which makes it necess…
Towards a Definition of Locality in a Manifoldlike Causal Set
Lisa Glaser, Sumati Surya
It is a common misconception that spacetime discreteness necessarily implies a violation of local Lorentz invariance. In fact, in the causal set approach to quantum gravity, Lorent…
Causal set d'Alembertians for various dimensions
Fay Dowker, Lisa Glaser
We propose, for dimension d, a discrete Lorentz invariant operator on scalar fields that approximates the Minkowski spacetime scalar d'Alembertian. For each dimension, this gives r…