Feynman Propagator for a Free Scalar Field on a Causal Set

2009/09/30 by Steven Johnston · 3 citations
Physics and Astronomy · #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Applications #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevlett.103.180401

published as Phys.Rev.Lett.103:180401,2009 · 4 pages, 2 plots. Minor updates to match published version

openalex publication_date 2009/10/29 · arxiv created 2009/11/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The Feynman propagator for a free bosonic scalar field on the discrete spacetime of a causal set is presented. The formalism includes scalar field operators and a vacuum state which define a scalar quantum field theory on a causal set. This work can be viewed as a novel regularization of quantum field theory based on a Lorentz invariant discretization of spacetime.

Citations

• The causal set approach to quantum gravity
• Quantum Fields in Curved Space

Cited by

• Spectral Spacetime Entropy for Quasifree Theories
• Quantum-Spacetime Phenomenology
• Spectral Density of the Causal Propagator
• The fermionic signature operator in de Sitter spacetime