{"paper":{"title":"Thermodynamic formulation of vacuum energy density in flat spacetime and potential implications for the cosmological constant","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-lat","hep-ph","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Andr\\'e LeClair","submitted_at":"2024-04-02T22:51:58Z","abstract_excerpt":"We propose a thermodynamical definition of the vacuum energy density $\\rho_{\\rm vac}$, defined as $\\langle 0| T_{\\mu\\nu} |0\\rangle = - \\rho_{\\rm vac} \\, g_{\\mu\\nu}$, in quantum field theory in flat Minkowski space in $D$ spacetime dimensions, which can be computed in the limit of high temperature, namely in the limit $\\beta = 1/T \\to 0$. It takes the form $\\rho_{\\rm vac} = {\\rm const} \\cdot m^D$ where $m$ is a fundamental mass scale and ${\\rm \"const\"}$ is a computable constant which can be positive or negative. Due to modular invariance $\\rho_{\\rm vac}$ can also be computed in a different non-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.02350","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2404.02350/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}