{ "id": "1712.00074", "version": "v1", "published": "2017-11-30T20:51:43.000Z", "updated": "2017-11-30T20:51:43.000Z", "title": "Recent advances on chiral partners and patterns", "authors": [ "Angel Gómez Nicola", "Jacobo Ruiz de Elvira", "Silvia Ferreres-Solé", "Andrea Vioque-Rodríguez" ], "comment": "6 pages, 3 figures. Proceedings of Hadron 2017 conference, 25-29 september 2017, Salamanca (Spain)", "categories": [ "hep-ph" ], "abstract": "We review recent results on chiral $SU(2)_L\\times SU(2)_R\\approx O(4)$ and $U(1)_A$ symmetry restoration in QCD. In particular, we discuss how Ward Identities allow one to derive general results on partner degeneration, which shed light on the distinction between the $O(4)$ and $O(4)\\times U(1)_A$ patterns of the chiral transition. For that purpose, susceptibilities associated with the $O(4)$ and $U(1)_A$ symmetries are studied. From this analysis we conclude that in the ideal regime of exact $O(4)$ restoration (formally achieved in the limit of two massless flavours), $U(1)_A$ partners degenerate as well. We also discuss the role of the thermal $f_0(500)$ state to describe thermodynamic observables sensitive to chiral restoration, such as the scalar susceptibility. We pay special attention to the consistency of our results with recent lattice analysis.", "revisions": [ { "version": "v1", "updated": "2017-11-30T20:51:43.000Z" } ], "analyses": { "keywords": [ "chiral partners", "pay special attention", "lattice analysis", "scalar susceptibility", "derive general results" ], "tags": [ "conference paper" ], "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable" } } }