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Phys. Rev. Lett. 103, 180401 (2009) [4 pages]

Feynman Propagator for a Free Scalar Field on a Causal Set

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Steven Johnston*
Theoretical Physics, Blackett Laboratory, Imperial College London, South Kensington, London, SW7 2AZ, United Kingdom

Received 18 September 2009; published 29 October 2009

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.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.103.180401
DOI:
10.1103/PhysRevLett.103.180401
PACS:
04.60.Nc, 03.65.Pm, 03.70.+k

*steven.johnston02@imperial.ac.uk