The propagator in polymer quantum field theory
arXiv:1007.5500 · doi:10.1103/PhysRevD.82.124032
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.
5 pages, 1 figure, clarified discussion of boundary conditions, improved figure, matches version published in PRD
References in corpus (6)
- Polymer Quantum Mechanics and its Continuum Limit
- Polymer state approximations of Schroedinger wave functions
- Quantum gravity and the Coulomb potential
- Polymer quantization, singularity resolution and the 1/r^2 potential
- Background independent quantization and wave propagation
- Path integral duality modified propagators in spacetimes with constant curvature