Massless Scalar Field Theory in a Quantised Space-Time
Abstract
A method is developed to construct a non-local massless scalar field theory in a flat quantised space-time generated by an operator algebra. Implicit in the operator algebra is a fundamental length scale of the space-time. The fundamental two-point function of free fields is constructed by assuming that the causal Green functions still have support on the light cone in the operator algebra quantised space-time. In contrast to previous stochastic approaches, the method introduced here requires no explicit averaging over spacetime coordinates. The two- and four-point functions of~ theory are calculated to the one-loop level, and no ultraviolet divergences are encountered. It is also demonstrated that there are no IR divergences in the processes considered.
Cite
@article{arxiv.hep-th/9501108,
title = {Massless Scalar Field Theory in a Quantised Space-Time},
author = {J. ~C. ~Breckenridge and T. ~G. ~Steele and V. Elias},
journal= {arXiv preprint arXiv:hep-th/9501108},
year = {2010}
}
Comments
23 pages, mtexsis (TeXsis), includes 2 figure files.