Dynamics for causal sets with matter fields: A Lagrangian-based approach
Abstract
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.
Keywords
Cite
@article{arxiv.0905.1506,
title = {Dynamics for causal sets with matter fields: A Lagrangian-based approach},
author = {Roman Sverdlov and Luca Bombelli},
journal= {arXiv preprint arXiv:0905.1506},
year = {2009}
}
Comments
25 pages, no figures. Contribution to the Proceedings of DICE2008, From Quantum Mechanics through Complexity to Space-time: The role of emergent dynamical structures (Castiglioncello, Italy, Sept. 2008)