Dynamics for causal sets with matter fields: A Lagrangian-based approach

Details Dynamics for causal sets with matter fields: A Lagrangian-based approach Dynamics for causal sets with matter fields: A Lagrangian-based approach

2009-05-10

arxiv.org/abs/0905.1506v1

J.Phys.Conf.Ser.174:012019,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

25 pages, no figures. Contribution to the Proceedings of DICE2008, From Quantum Mechanics through Complexity to Space-time: Th

Scientific paper

10.1088/1742-6596/174/1/012019

We present a framework for the dynamics of causal sets and coupled matter fields, which is a simplification and generalization of an approach we recently proposed. Given a set of fields including the gravitational one, the main step in implementing our proposal consists in writing their continuum-based action using as variables for the spacetime geometry the causal order and volume element. One then discretizes the resulting expression, with a procedure designed to maintain covariance. After a discussion of the general framework, we treat in detail the case of scalar fields, Yang-Mills gauge fields and the gravitational field.

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