Dynamics for causal sets with matter fields: A Lagrangian-based approach - General Relativity and Quantum CosmologyReport as inadecuate




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Abstract: We present a framework for the dynamics of causal sets and coupled matterfields, which is a simplification and generalization of an approach we recentlyproposed.
Given a set of fields including the gravitational one, the main stepin implementing our proposal consists in writing their continuum-based actionusing as variables for the spacetime geometry the causal order and volumeelement.
One then discretizes the resulting expression, with a proceduredesigned to maintain covariance.
After a discussion of the general framework,we treat in detail the case of scalar fields, Yang-Mills gauge fields and thegravitational field.



Author: Roman Sverdlov, Luca Bombelli

Source: https://arxiv.org/



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