Scalar Field Theory on a Causal Set in Histories Form

Details Scalar Field Theory on a Causal Set in Histories Form Scalar Field Theory on a Causal Set in Histories Form

2011-07-04

arxiv.org/abs/1107.0698v1

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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