$η$ and $η'$ mesons in the Dyson-Schwinger approach at finite temperature
| dc.creator | Horvatic, D. | |
| dc.creator | Klabucar, D. | |
| dc.creator | Radzhabov, A. E. | |
| dc.date | 2007-08-09 | |
| dc.date.accessioned | 2026-07-07T11:41:47Z | |
| dc.date.available | 2026-07-07T11:41:47Z | |
| dc.description | We study the temperature dependence of the pseudoscalar meson properties in a relativistic bound-state approach exhibiting the chiral behavior mandated by QCD. Concretely, we adopt the Dyson-Schwinger approach with a rank-2 separable model interaction. After extending the model to the strange sector and fixing its parameters at zero temperature, T=0, we study the T-dependence of the masses and decay constants of all ground-state mesons in the pseudoscalar nonet. Of chief interest are $η$ and $η^\prime$. The influence of the QCD axial anomaly on them is successfully obtained through the Witten-Veneziano relation at T=0. The same approach is then extended to T>0, using lattice QCD results for the topological susceptibility. The most conspicuous finding is an increase of the $η^\prime$ mass around the chiral restoration temperature $T_{\rm Ch}$, which would suggest a suppression of $η^\prime$ production in relativistic heavy-ion collisions. The increase of the $η^\prime$ mass may also indicate that the extension of the Witten-Veneziano relation to finite temperatures becomes unreliable around and above $T_{\rm Ch}$. Possibilities of an improved treatment are discussed. | |
| dc.description | 13 pages, 15 figures | |
| dc.identifier | https://arxiv.org/abs/0708.1260 | |
| dc.identifier | http://arxiv.org/abs/0708.1260 | |
| dc.identifier | Phys.Rev.D76:096009,2007 | |
| dc.identifier | doi:10.1103/PhysRevD.76.096009 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/200658 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | $η$ and $η'$ mesons in the Dyson-Schwinger approach at finite temperature | |
| dc.type | text |