The propagator in polymer quantum field 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.

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

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Cited by in corpus (52)

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• Primordial polymer perturbations
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• Path Integral representation for Polymer Quantized Scalar Fields
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• The Nonlinear Field Space Theory
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• Diffraction in Time of Polymer Particles
• Response of the Unruh-DeWitt detector in flat spacetime with a compact dimension
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• The Polymer representation for the scalar field: A Wigner functional approach
• Nonsingular cosmology from evolutionary quantum gravity
• Polymer-Fourier quantization of the scalar field revisited
• Violation of the Holographic Principle in the Loop Quantum Gravity
• Semiclassical cosmology with polymer matter
• Consistent derivation of the Hawking effect for both non-extremal and extremal Kerr black holes
• Natural Inflation from Polymer Quantization
• Bounds on the Polymer Scale from Gamma Ray Bursts
• Instanton solutions on the polymer harmonic oscillator
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• Low Energy Lorentz Violation in Polymer Quantization Revisited
• Modular polymer representations of the Weyl algebra
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• Matter in Loop Quantum Gravity
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• Hawking effect in an extremal Kerr black hole spacetime
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• Squeezing of light from Planck-scale physics
• Frustration of resonant preheating by exotic kinetic terms
• Polymeric quantum mechanics and the zeros of the Riemann zeta function
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• Polymer quantum mechanics on compact configuration spaces
• Singularity resolution by lattice shifts in discretised quantum mechanics