The propagator in polymer quantum field theory
General Relativity and Quantum Cosmology
2011-03-24 v2 High Energy Physics - Theory
Abstract
We study free scalar field theory on flat spacetime using a background independent (polymer) quantization procedure. Specifically we compute the propagator using a method that takes the energy spectrum and position matrix elements of the harmonic oscillator as inputs. We obtain closed form results in the infrared and ultraviolet regimes that give Lorentz invariance violating dispersion relations, and show suppression of propagation at sufficiently high energy.
Cite
@article{arxiv.1007.5500,
title = {The propagator in polymer quantum field theory},
author = {Golam Mortuza Hossain and Viqar Husain and Sanjeev S. Seahra},
journal= {arXiv preprint arXiv:1007.5500},
year = {2011}
}
Comments
5 pages, 1 figure, clarified discussion of boundary conditions, improved figure, matches version published in PRD