The propagator in polymer quantum field theory
Golam Mortuza Hossain, Viqar Husain, Sanjeev S. Seahra
TL;DR
This paper investigates the propagator of a free scalar field in polymer quantum field theory, revealing Lorentz invariance violations and suppression of high-energy propagation through analytical results.
Contribution
It introduces a method to compute the propagator in polymer quantum field theory using energy spectrum and matrix elements, providing new insights into Lorentz violations.
Findings
Lorentz invariance violating dispersion relations in infrared and ultraviolet regimes
Suppression of propagation at high energies
Closed form results for the propagator
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.
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