Quantum Fields on Causal Sets

Understand

Causal set theory provides a model of discrete spacetime in which spacetime events are represented by elements of a causal set---a locally finite, partially ordered set in which the partial order represents the causal relationships between events.

• The work presented here describes a model for matter on a causal set, specifically a theory of quantum scalar fields on a causal set spacetime background.
• The work starts with a discrete path integral model for particles on a causal set.
• Here quantum mechanical amplitudes are assigned to trajectories within the causal set.