Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2011-07-04
J.Phys.Conf.Ser.306:012017,2011
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
plainTeX, 25 pages, no figures. Most current version is available at http://www.perimeterinstitute.ca/personal/rsorkin/some.pa
Scientific paper
10.1088/1742-6596/306/1/012017
We recast into histories-based form a quantum field theory defined earlier in operator language for a free scalar field on a background causal set. The resulting decoherence functional resembles that of the continuum theory. The counterpart of the d'Alembertian operator is nonlocal and is a generalized inverse of the discrete retarded Green function. We comment on the significance of this and we also suggest how to include interactions.
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