An analytic evaluation of gravitational particle production of fermions via Stokes phenomenon

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dc.citation.articleNumber216en_US
dc.citation.journalTitleJournal of High Energy Physicsen_US
dc.citation.volumeNumber2022en_US
dc.contributor.authorHashiba, Soichiroen_US
dc.contributor.authorLing, Siyangen_US
dc.contributor.authorLong, Andrew J.en_US
dc.date.accessioned2022-10-28T17:42:59Zen_US
dc.date.available2022-10-28T17:42:59Zen_US
dc.date.issued2022en_US
dc.description.abstractThe phenomenon of gravitational particle production can take place for quantum fields in curved spacetime. The abundance and energy spectrum of gravitationally produced particles is typically calculated by solving the field’s mode equations on a time-dependent background metric. For purposes of studying dark matter production in an inflationary cosmology, these mode equations are often solved numerically, which is computationally intensive, especially for the rapidly-oscillating high-momentum modes. However, these same modes are amenable to analytic evaluation via the Exact Wentzel-Kramers-Brillouin (EWKB) method, where gravitational particle production is a manifestation of the Stokes phenomenon. These analytic techniques have been used in the past to study gravitational particle production for spin-0 bosons. We extend the earlier work to study gravitational production of spin-1/2 and spin-3/2 fermions. We derive an analytic expression for the connection matrix (valid to all orders in an adiabatic parameter ħ) that relates Bogoliubov coefficients across a Stokes line connecting a merged pair of simple turning points. By comparing the analytic approximation with a direct numerical integration of the mode equations, we demonstrate an excellent agreement and highlight the utility of the Stokes phenomenon formalism applied to fermions. We discuss the implications for an analytic understanding of catastrophic particle production due to vanishing sound speed, which can occur for a spin-3/2 Rarita-Schwinger field.en_US
dc.identifier.citationHashiba, Soichiro, Ling, Siyang and Long, Andrew J.. "An analytic evaluation of gravitational particle production of fermions via Stokes phenomenon." <i>Journal of High Energy Physics,</i> 2022, (2022) Springer Nature: https://doi.org/10.1007/JHEP09(2022)216.en_US
dc.identifier.digitalJHEP09-2022-216en_US
dc.identifier.doihttps://doi.org/10.1007/JHEP09(2022)216en_US
dc.identifier.urihttps://hdl.handle.net/1911/113762en_US
dc.language.isoengen_US
dc.publisherSpringer Natureen_US
dc.rightsThis article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.en_US
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/en_US
dc.titleAn analytic evaluation of gravitational particle production of fermions via Stokes phenomenonen_US
dc.typeJournal articleen_US
dc.type.dcmiTexten_US
dc.type.publicationpublisher versionen_US
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