Scalar Field Theory on a Causal Set in Histories Form
General Relativity and Quantum Cosmology
2017-02-07 v2 High Energy Physics - Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1107.0698,
title = {Scalar Field Theory on a Causal Set in Histories Form},
author = {Rafael D. Sorkin},
journal= {arXiv preprint arXiv:1107.0698},
year = {2017}
}
Comments
plainTeX, 25 pages, no figures. One paragraph added, other small changes. Most current version is available at http://www.perimeterinstitute.ca/personal/rsorkin/some.papers/142.causet.dcf.pdf (or wherever my home-page may be, such as http://www.physics.syr.edu/~sorkin/some.papers/)