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An open source code for Causal Dynamical Triangulations without preferred foliation in (1+1)-dimensions with elementary expositions

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posted on 02.08.2020, 16:07 by Damodar Rajbhandari
Causal Dynamical Triangulations (CDT) is an approach to Quantum Gravity based on the sum over histories line of research which gives a quantization of classical Einstein gravity using a discrete approximation to the gravitational path integral, and spacetimes are approximated by Minkowskian equilateral triangles. This approach was developed by Renate Loll, Jan Ambjørn, and Jerzy Jurkiewicz. We have used a more recent version of CDT, called CDT without preferred foliation, to write a numerical simulation of quantum spacetimes in (1+1) dimensions. This report comprises the detailed derivation of the model and the numerical implementation from how we can initialize triangulated spacetime in the form of a data structure to MonteCarlo moves. Finally, we prove that our implemented code does work up to where we ended up.

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