Optimized numerical evolution of perturbations across sharp background trajectory turns in multifield inflation

[2603.27080] Optimized numerical evolution of perturbations across sharp background trajectory turns in multifield inflation Skip to main content Search Submit Donate Log in General Relativity and Quantum Cosmology arXiv:2603.27080 (gr-qc) [Submitted on 28 Mar 2026 ( v1 ), last revised 7 Oct 2026 (this version, v3)] Title: Optimized numerical evolution of perturbations across sharp background trajectory turns in multifield inflation Authors: Guillermo F. Quispe Peña , Johor D. Peñalba Quispitupa , José T. Gálvez Ghersi View PDF HTML (experimental) Abstract: Features in the primordial power spectrum require numerical methods that are both accurate and scalable across the wide class of multifield inflationary models that produce them. Sharp turns in the background trajectories, induced by either potential or geometric effects, render these computations particularly challenging. In this work, we introduce an efficient method for evolving primordial scalar fluctuations, requiring time steps comparable to those used for the background evolution. We demonstrate that the method accurately tracks perturbations through rapidly turning trajectories in arbitrary field-space geometries, enabling systematic exploration of spectral features across diverse multifield scenarios. Our approach scales robustly to large numbers of degrees of freedom, providing a reliable computational framework for probing regimes that significantly depart from slow-roll or slow-turn dynamics. Comments: 24+1 pages, 10 figures, 3 ancillary animations, comments are welcome Subjects: General Relativity and Quantum Cosmology (gr-qc) ; Cosmology and Nongalactic Astrophysics (astro-ph.CO); High Energy Physics - Theory (hep-th) Cite as: arXiv:2603.27080 [gr-qc] (or arXiv:2603.27080v3 [gr-qc] for this version) https://doi.org/10.48550/arXiv.2603.27080 Focus to learn more arXiv-issued DOI via DataCite Journal reference: JCAP10(2026)019 Related DOI : https://doi.org/10.1088/1475-7516/2026/10/019 Focus to learn more DOI(s) linking to related resources Submission history From: Guillermo Fernando Quispe Peña [ view email ] [v1] Sat, 28 Mar 2026 01:46:44 UTC (7,340 KB) [v2] Thu, 27 Aug 2026 18:38:11 UTC (7,553 KB) [v3] Wed, 7 Oct 2026 18:49:54 UTC (7,564 KB) Full-text links: Access Paper: View PDF HTML (experimental) TeX Source view license Ancillary-file links: Ancillary files ( details ) : movie_EUM_MVP_3E.mp4 movie_GBM_NLP_3E.mp4 ps_full_RPM_ELP15.mp4 Current browse context: gr-qc < prev | next > new | recent | 2026-03 Change to browse by: astro-ph astro-ph.CO 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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