{ "id": "2401.04194", "version": "v1", "published": "2024-01-08T19:16:35.000Z", "updated": "2024-01-08T19:16:35.000Z", "title": "On interpretation of fluctuations of conserved charges at high T", "authors": [ "T. D. Cohen", "L. Ya. Glozman" ], "comment": "9 pages", "categories": [ "hep-ph", "hep-lat", "nucl-ex", "nucl-th" ], "abstract": "Fluctuations of conserved charges calculated on the lattice which can be measured experimentally, are well reproduced by a hadron resonanse gas model at temperatures below T_{ch} ~ 155 MeV and radically deviate from the hadron resonance gas predictions above the chiral restoration crossover. This behavior is typically interpreted as an indication of deconfinement in the quark-gluon plasma regime. We present an argument that this interpretation may be too simple. The argument is based on the scaling of quantities with the number of colors: demonstration of deconfinement and QGP requires observable that is sensitive to N_c^2 gluons while the conserved charges are sensitive only to quarks and above T_{ch} scale as N_c^1. The latter scaling is consistent with the existence of an intermediate regime characterized by restored chiral symmetry and by approximate chiral spin symmetry which is a symmetry of confining interaction. In this regime the energy density, pressure and entropy density scale as N_c^1. In the large N_c limit this regime might become a distinct phase separated from the hadron gas and from QGP by phase transitions. A natural observable that associates with deconfinement and is directly sensitive to deconfined N_c^2-1 gluons is the Polyakov loop; in the N_c=3 world it remains very close to 0 at temperatures well above chiral crossover, reaches the value 0.5 around 3T_{ch} and the value close to 1 at temperatures ~1 GeV.", "revisions": [ { "version": "v1", "updated": "2024-01-08T19:16:35.000Z" } ], "analyses": { "keywords": [ "conserved charges", "interpretation", "fluctuations", "hadron resonanse gas model", "approximate chiral spin symmetry" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable" } } }