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 regularisation of quantum field theory based on a Lorentz invariant discretisation of spacetime.

4 pages, 2 plots. Minor updates to match published version

References in corpus (3)

• The causal set approach to quantum gravity
• Particle propagators on discrete spacetime
• Gravity and Matter in Causal Set Theory

Cited by in corpus (10)

• Nonlocal Scalar Quantum Field Theory from Causal Sets
• On a Recent Construction of "Vacuum-like" Quantum Field States in Curved Spacetime
• Causal Sets: Quantum gravity from a fundamentally discrete spacetime
• Hilbert Spaces from Path Integrals
• Discreteness and the transmission of light from distant sources
• The Sorkin-Johnston State in a Patch of the Trousers Spacetime
• Quantum Fields on Causal Sets
• Coupling the Sorkin-Johnston State to Gravity
• Causal Set Phenomenology
• Of Inflation and the Inflaton