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The propagator in polymer quantum field theory

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arxiv 1007.5500 v2 pith:R4FQVNPT submitted 2010-07-30 gr-qc hep-th

Golam Mortuza Hossain , Viqar Husain , Sanjeev S. Seahra This is my paper · ORCID
classification gr-qchep-th
keywords energyfieldpolymerpropagatortheorybackgroundclosedcompute
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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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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. An effective Friedmann equation for a bouncing anisotropic universe

    gr-qc 2026-07 conditional novelty 6.0 of 10

    Derives the effective Friedmann equation and the exact parabolic shear–density relation at the bounce for polymer Bianchi-I, with constants −4, 4, 0 in the sharply peaked limit.

  2. Polymer quantum mechanics on compact configuration spaces

    quant-ph 2026-06 unverdicted novelty 5.0 of 10

    Polymer quantization on compact spaces yields finite graph Hilbert spaces whose exact ring and box spectra recover Schrödinger QM as lattice spacing vanishes.

  3. Polymer Bianchi-I with polymer matter

    gr-qc 2025-09 conditional novelty 5.0 of 10

    In a Bianchi-I universe with polymer quantization of both geometry and a massless scalar, the matter polymer scale shifts the quantum bounce and alters volume and anisotropy evolution.

  4. Polymer cosmology with polymer matter: Effective dynamics

    gr-qc 2025-02 conditional novelty 5.0 of 10

    A polymer-quantized scalar field on a polymer-quantized FLRW background produces a bounce whose location depends on the matter polymer scale, with generic asymmetric evolution across the bounce.

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