Gauge fixing in Causal Dynamical Triangulations

Abstract

We relax the definition of the Ambjorn-Loll causal dynamical triangulation model in 1+1 dimensions to allow for a varying lapse. We show that, as long as the spatially averaged lapse is constant in time, the physical observables are unchanged in the continuum limit. This supports the claim that the time slicing of the model is the result of a gauge fixing, rather than a physical preferred time slicing.

14 pages, 2 figures

References in corpus (3)

• Dynamics of Causal Sets
• Foliations and 2+1 Causal Dynamical Triangulation Models
• Space-time foam in 2D and the sum over topologies

Cited by in corpus (10)

• Nonperturbative Quantum Gravity
• An invitation to loop quantum gravity
• Causal Dynamical Triangulations without Preferred Foliation
• Exploring Euclidean Dynamical Triangulations with a Non-trivial Measure Term
• De Sitter Universe from Causal Dynamical Triangulations without Preferred Foliation
• Towards Gravity from the Quantum
• Quantum gravity without vacuum dispersion
• Hypothesis on the Nature of Time
• Foliations and 2+1 Causal Dynamical Triangulation Models
• Dynamics and the Emergence of Geometry in an Information Mesh