A String Field Theory based on Causal Dynamical Triangulations

Abstract

We formulate the string field theory in zero-dimensional target space corresponding to the two-dimensional quantum gravity theory defined through Causal Dynamical Triangulations. This third quantization of the quantum gravity theory allows us in principle to calculate the transition amplitudes of processes in which the topology of space changes in time, and to include non-trivial topologies of space-time. We formulate the corresponding Dyson-Schwinger equations and illustrate how they can be solved iteratively.

29 pages, 4 figures

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Cited by in corpus (46)

• Nonperturbative Quantum Gravity
• The Nonperturbative Quantum de Sitter Universe
• 2d CDT is 2d Horava-Lifshitz quantum gravity
• A Matrix Model for 2D Quantum Gravity defined by Causal Dynamical Triangulations
• A new continuum limit of matrix models
• Causal Dynamical Triangulations and the Quest for Quantum Gravity
• Canonical tensor models with local time
• Birefringence in pseudo-Finsler spacetimes
• Pseudo-Finslerian spacetimes and multi-refringence
• Trees and spatial topology change in CDT
• Stochastic quantization and the role of time in quantum gravity
• Imposing causality on a matrix model
• New multicritical matrix models and multicritical 2d CDT
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• An Analytical Analysis of CDT Coupled to Dimer-like Matter
• Pseudo-topological transitions in 2D gravity models coupled to massless scalar fields
• On the Quantum Geometry of Multi-critical CDT
• Locally Causal Dynamical Triangulations in Two Dimensions
• Baby Universes Revisited
• Wormholes, a fluctuating cosmological constant and the Coleman mechanism
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• Pseudo-Cartesian coordinates in a model of Causal Dynamical Triangulations
• A model for emergence of space and time
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• A modified Friedmann equation
• The microscopic structure of 2D CDT coupled to matter
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• A restricted dimer model on a 2-dimensional random causal triangulation
• Universality of 2d causal dynamical triangulations
• A Causal Alternative for c=0 Strings
• Scale-dependent Hausdorff dimensions in 2d gravity
• Wormholes in 2d Horava-Lifshitz quantum gravity
• Creating 3, 4, 6 and 10-dimensional spacetime from W3 symmetry
• Criticality at absolute zero from Ising model on two-dimensional dynamical triangulations
• Stochastic Quantization Approach for Causal Dynamical Triangulation String Field Theory
• Aspects of General Relativity: Pseudo-Finsler extensions, Quasi-normal frequencies and Multiplication of tensorial distributions
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• Towards elucidation of zero-temperature criticality of Ising model on 2d DT
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• CDT and Horava-Lifshitz QG in Two Dimensions
• Causal dynamical triangulation of a 3D tensor model
• Analytical approaches to 2D CDT coupled to matter
• Causal random geometry from stochastic quantization
• Strings as particle arrays
• Branched polymers with loops coupled to the critical Ising model