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Natural Inflation from Polymer Quantization

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arxiv 1709.03960 v3 pith:D7VV3XIH submitted 2017-09-12 gr-qc

Masooma Ali , Sanjeev S. Seahra This is my paper · ORCID
classification gr-qc
keywords fieldpolymerquantizationscalaramplitudeinflationnaturalscheme
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We study the polymer quantization of a homogeneous massive scalar field in the early universe using a prescription inequivalent to those previously appearing in the literature. Specifically, we assume a Hilbert space for which the scalar field momentum is well defined but its amplitude is not. This is closer in spirit to the quantization scheme of loop quantum gravity, in which no unique configuration operator exists. We show that in the semi-classical approximation, the main effect of this polymer quantization scheme is to compactify the phase space of chaotic inflation in the field amplitude direction. This gives rise to an effective scalar potential closely resembling that of hybrid natural inflation. Unlike polymer schemes in which the scalar field amplitude is well-defined, the semi-classical dynamics involves a past cosmological singularity; i.e., this approach does not mitigate the big bang.

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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 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.

  3. 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.

  4. Einstein@Home all-sky "bucket" search for continuous gravitational waves in LIGO O3 public data

    gr-qc 2025-08 unverdicted novelty 4.0 of 10

    A non-detection and upper limit for continuous gravitational waves is claimed, but the body text is an unrelated cosmology paper, making the result unverifiable.

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