{"paper":{"title":"Pion and kaon condensation at zero temperature in three-flavor $\\chi$PT at nonzero isospin and strange chemical potentials at next-to-leading order","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nucl-th"],"primary_cat":"hep-ph","authors_text":"Jens O. Andersen, Prabal Adhikari","submitted_at":"2019-09-23T19:00:28Z","abstract_excerpt":"We consider three-flavor chiral perturbation theory ($\\chi$PT) at zero temperature and nonzero isospin ($\\mu_{I}$) and strange ($\\mu_{S}$) chemical potentials. The effective potential is calculated to next-to-leading order (NLO) in the $\\pi^{\\pm}$-condensed phase, the $K^{\\pm}$-condensed phase, and the $K^0/\\bar{K}^0$-condensed phase. It is shown that the transitions from the vacuum phase to these phases are second order and take place when, $|\\mu_I|=m_{\\pi}$, $|{1\\over2}\\mu_I+\\mu_S|=m_K$, and $|-{1\\over2}\\mu_I+\\mu_S|=m_K$, respectively at tree level and remains unchanged at NLO. The transitio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1909.10575","kind":"arxiv","version":3},"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/1909.10575/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"}