{ "id": "hep-ph/0212275", "version": "v4", "published": "2002-12-18T22:29:31.000Z", "updated": "2003-01-21T16:33:13.000Z", "title": "Thermal Pions at Finite Isospin Chemical Potential", "authors": [ "M. Loewe", "C. Villavicencio" ], "comment": "13 pages, 5 figures", "journal": "Phys.Rev. D67 (2003) 074034", "doi": "10.1103/PhysRevD.67.074034", "categories": [ "hep-ph" ], "abstract": "The density corrections, in terms of the isospin chemical potential $\\mu_I$, to the mass of the pions are studied in the framework of the SU(2) low energy effective chiral lagrangian. The pion decay constant $f_{\\pi}(T, \\mu_{I})$ is also analized. As a function of temperature for $\\mu_I =0$, the mass remains quite stable, starting to grow for very high values of $T$, confirming previous results. However, there are interesting corrections to the mass when both effects (temperature and chemical potential) are simultaneously present. At zero temperature the $\\pi ^{\\pm}$ should condensate when $\\mu_{I} = \\mp m_{\\pi}$. This is not longer valid anymore at finite $T$. The mass of the $\\pi_0$ acquires also a non trivial dependence on $\\mu_I$ due to the finite temperature.", "revisions": [ { "version": "v4", "updated": "2003-01-21T16:33:13.000Z" } ], "analyses": { "subjects": [ "11.30.Rd", "12.39.Fe", "11.10.Wx", "12.38.Mh" ], "keywords": [ "finite isospin chemical potential", "thermal pions", "low energy effective chiral lagrangian", "temperature", "non trivial dependence" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. D" }, "note": { "typesetting": "TeX", "pages": 13, "language": "en", "license": "arXiv", "status": "editable", "inspire": 605180 } } }