Feynman Propagator for a Free Scalar Field on a Causal Set
read the original 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.
This paper has not been read by Pith yet.
Forward citations
Cited by 4 Pith papers
-
Towards black-hole horizons and geodesic focusing in causal sets
Causal sets can approximate black hole horizons via discrete timelike curves and ladders tracing null geodesics, with a discrete expansion changing sign across the horizon in a 1+1D toy model.
-
Carrollian quantum states and flat space holography
Carrollian QFTs from scalar limits admit regular invariant vacua and KMS states only in the massive electric sector; a factorizing quasifree state is constructed for flat-space holography isolating nonseparable zero modes.
-
Carrollian quantum states and flat space holography
Free Carrollian quantum field theories admit well-defined vacuum and KMS states via algebraic methods, with massless theories requiring nonregular states whose Hilbert spaces factorize into Fock and nonseparable zero-...
-
Spectral Density of the Causal Propagator
Conjecture for the asymptotic spectral density of the causal propagator in free scalar QFT, supported by examples, with implications for Lorentzian spectral geometry.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.