{"paper":{"title":"A New Approach to the Calculation of Some Properties of Vacuum and $\\pi$ and $\\sigma$ Mesons","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Chaohsi Chang, Engang Zhao, Hongshi Zong, Xiaofu L\\\"u, Xiaohua Wu","submitted_at":"2001-09-13T14:10:22Z","abstract_excerpt":"It is shown in a systematic way that the instanton dilute model can be combined with the global colour symmetry model to form a new nonperturbative QCD model. Based on the quark propagator derived in the instanton dilute liquid approximation, the quark condensate $<\\bar{q}q>$, the mixed quark gluon condensate $g_{s}<\\bar{q}G_{\\mu\\nu}\\sigma^{\\mu\\nu}q>$, the four quark condensate $<|bar{q}\\Gamma q\\bar{q}\\Gamma q>$ and tensor, pion vacuum susceptibilities have been calculated at the mean field level in the framework of the new nonperturbative QCD model. The numerical results are compatible with t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0109112","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":""},"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"}