{"paper":{"title":"Higher order fermion effective polynomial interactions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","nucl-th"],"primary_cat":"hep-th","authors_text":"Fabio L. Braghin","submitted_at":"2015-05-05T22:27:23Z","abstract_excerpt":"Three different fermion effective potentials given by series of bilinears, $\\sum_j^N (\\bar{\\psi}_a \\psi_a)^{2^j}$ , $\\sum_j^N (\\bar{\\psi}_a \\psi_a)^{j}$ and also $\\sum_j^N (\\bar{\\psi}_a \\gamma_\\mu \\psi_a)^{2j}$ where $a=1,...N_r$ and integer $j$ are investigated by introducing sets of auxiliary fields. A mininal procedure is adopted to deal with the auxiliary fields and an effective bosonized model in each case is found by assuming weak field fluctuations, i.e. weak enough when compared to (normalized) coupling constants. Different fermion condensates are considered for the ground state in the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.01209","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"}