Naslov
Eta and eta' mesons in the Dyson-Schwinger approach at finite temperature

Autori
Horvatić, Davor ; Klabučar, Dubravko ; Radzhabov, Andrey

Izvornik
Physical Review D - Particles, Fields, Gravitation, and Cosmology (1550-7998) 76 (2007), 9; 096009-1

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
QCD; Dyson-Schwinger; Bethe-Salpeter; Finite temperature; pseudoscalar mesons

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Fizika

POVEZANOST RADA