{"paper":{"title":"Interactions in the G$_2$ vacuum structure and the static potentials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Seyed Mohsen Hosseini Nejad","submitted_at":"2026-06-19T19:04:35Z","abstract_excerpt":"We investigate the domain structures of the G$_2$ vacuum within the framework of the domain model, analyzing the interactions among vacuum domains. Refinements to the static potentials in the intermediate regime reveal the crucial role of SU($3$) and SU($2$) subgroups in the confinement mechanism of the G$_2$ gauge group. Inside vacuum domains of G$_2$ with nonzero aggregate flux, repulsive interactions among subgroup vortices are found. Models containing either SU($3$) or SU($2$) domains, as well as vacuum domains with zero aggregate flux, exhibit favorable Casimir scaling and convexity prope"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.21693","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/2606.21693/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"}