{"paper":{"title":"$\\theta-$ Parameter in 2 Color QCD at Finite Baryon and Isospin Density","license":"","headline":"","cross_cats":["hep-lat","hep-th"],"primary_cat":"hep-ph","authors_text":"Ariel R. Zhitnitsky, Max A. Metlitski","submitted_at":"2005-07-30T20:29:46Z","abstract_excerpt":"We use 2-color QCD as a model to study the effects of simultaneous presence of the so-called $\\theta$ parameter, chemical potentials for baryon number, $\\mu_B$ and for isospin charge, $\\mu_I$. We pay special attention to $\\theta$, $\\mu_B$, $\\mu_I$ dependence of different vacuum condensates, including chiral and diquark condensates, as well as the gluon condensate, $<G^2>$, and the topological susceptibility. We find that two phase transitions of the second order will occur when $\\theta$ relaxes from $\\theta=2\\pi$ to $\\theta=0$, if $\\mu$ is of order of the pion mass. We demonstrate that the tra"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0508004","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/hep-ph/0508004/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"}