Dynamics for causal sets with matter fields: A Lagrangian-based approach - General Relativity and Quantum CosmologyReportar como inadecuado




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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.



Autor: Roman Sverdlov, Luca Bombelli

Fuente: https://arxiv.org/







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