Breaking the degeneracy of non-canonical quartic inflation by reheating considerations

[2404.04872] Breaking the degeneracy of non-canonical quartic inflation by reheating considerations Skip to main content Search Submit Donate Log in General Relativity and Quantum Cosmology arXiv:2404.04872 (gr-qc) [Submitted on 7 Apr 2024 ( v1 ), last revised 9 May 2025 (this version, v3)] Title: Breaking the degeneracy of non-canonical quartic inflation by reheating considerations Authors: Iraj Safaei , Kayoomars Karami View PDF HTML (experimental) Abstract: Here, the quartic inflationary potential $V(\phi)=\frac{\lambda}{4}\phi^4$ within a non-canonical framework characterized by a power-law Lagrangian is investigated. We demonstrate that the predictions of this model align with the Planck 2018 observational data. We explore how the predictions of the model depend on the non-canonical parameter $\alpha$ and the number of $e$-folds $N$. Notably, the sound speed, non-Gaussianity parameter, scalar spectral index, and tensor-to-scalar ratio are all affected by variations in $\alpha$. However, the scalar spectral index exhibits a degeneracy with respect to variation in $\alpha$, which can be broken by incorporating reheating consideration. By applying a combination of theoretical and observational constraints on $(r-n_{\rm s})$, non-Gaussianity, and reheating parameters, we find that the duration of inflation is constrained to the range $55 \leq N\leq55.7$ $e$-folds for $60 \leq \alpha \leq 130$. Finally, we investigate relic gravitational waves and demonstrate that their energy density spectrum falls within the sensitivity range of gravitational waves detectors for this constrained range of $e$-folds. Comments: 24 pages, 7 figures, 2 tables Subjects: General Relativity and Quantum Cosmology (gr-qc) ; High Energy Physics - Theory (hep-th) Cite as: arXiv:2404.04872 [gr-qc] (or arXiv:2404.04872v3 [gr-qc] for this version) https://doi.org/10.48550/arXiv.2404.04872 Focus to learn more arXiv-issued DOI via DataCite Journal reference: International Journal of Modern Physics D 35, 2550091 (2026) Related DOI : https://doi.org/10.1142/S0218271825500919 Focus to learn more DOI(s) linking to related resources Submission history From: Kayoomars Karami [ view email ] [v1] Sun, 7 Apr 2024 08:36:18 UTC (1,163 KB) [v2] Mon, 1 Jul 2024 08:04:11 UTC (1,229 KB) [v3] Fri, 9 May 2025 09:31:56 UTC (2,297 KB) Full-text links: Access Paper: View PDF HTML (experimental) TeX Source view license Current browse context: gr-qc < prev | next > new | recent | 2024-04 Change to browse by: hep-th References & Citations INSPIRE HEP SciX Google Scholar Semantic Scholar export BibTeX citation Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) IArxiv recommender toggle IArxiv Recommender ( What is IArxiv? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab)

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