eta and eta' mesons in the Dyson-Schwinger approach at finite temperature (CROSBI ID 138454)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Horvatić, Davor ; Klabučar, Dubravko ; Radzhabov, Andrey
engleski
eta and eta' mesons in the Dyson-Schwinger approach at finite temperature
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 $\eta$ and $\eta^\prime$. 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 $\eta^\prime$ mass around the chiral restoration temperature $T_{; ; ; ; \rm Ch}; ; ; ; $, which would suggest a suppression of $\eta^\prime$ production in relativistic heavy-ion collisions. The increase of the $\eta^\prime$ 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.
QCD; Dyson-Schwinger; Bethe-Salpeter; Finite temperature; pseudoscalar mesons
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Podaci o izdanju
76 (9)
2007.
096009-1-096009-14
objavljeno
1550-7998
10.1103/PhysRevD.76.096009