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arXiv · 1007.5500

The propagator in polymer quantum field theory

Golam Mortuza Hossain·Viqar Husain·Sanjeev S. Seahra
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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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Golam Mortuza Hossain, Viqar Husain, Sanjeev S. Seahra. 2011-03-23. The propagator in polymer quantum field theory. https://doi.org/10.1103/physrevd.82.124032

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