title: Feynman propagator for a free scalar field on a causal set.
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.
authors.affiliation: Theoretical Physics, Blackett Laboratory, Imperial College London, South Kensington, London, SW7 2AZ, United Kingdom. steven.johnston02@imperial.ac.uk
authors.forename: Steven
authors.initials: S
authors.lastname: Johnston