The propagator in polymer quantum field theory

Details The propagator in polymer quantum field theory The propagator in polymer quantum field theory

2010-07-30

arxiv.org/abs/1007.5500v2

Phys.Rev.D82:124032,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, 1 figure, clarified discussion of boundary conditions, improved figure, matches version published in PRD

Scientific paper

10.1103/PhysRevD.82.124032

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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