{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/a-fast-c-implementation-of-thermal-functions","title":"A fast C++ implementation of thermal functions","arxiv_id":"1802.02720","date":"2018-02-08","proceeding":null,"authors":["Andrew Fowlie"],"abstract":"We provide a small C++ library with Mathematica and Python interfaces for computing thermal functions, defined $$ J_\\text{B/F}(y^2) \\equiv \\Re \\int_0^\\infty x^2 \\log\\left[1 \\mp e^{-\\sqrt{x^2 + y^2}} \\right] \\,\\text{d}x, $$ which appear in finite-temperature quantum field theory and play a role in phase-transitions in the early Universe, including baryogenesis, electroweak symmetry breaking and the Higgs mechanism.","url_abs":"https://arxiv.org/abs/1802.02720v1","url_pdf":"https://arxiv.org/pdf/1802.02720v1.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"links_only","authors_date_abstract":"arXiv metadata, CC0 1.0 (https://info.arxiv.org/help/license), from the Kaggle arXiv metadata snapshot of 2026-09-12"},"code_links":[{"paper_slug":"a-fast-c-implementation-of-thermal-functions","repo_url":"https://github.com/andrewfowlie/thermal_funcs","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":1,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}