Vector Meson Dominance and $g_{ρππ}$ at Finite Temperature from QCD Sum Rules

Details Vector Meson Dominance and $g_{ρππ}$ at Finite Temperature from QCD Sum Rules Vector Meson Dominance and $g_{ρππ}$ at Finite Temperature from QCD Sum Rules

1997-06-06

arxiv.org/abs/hep-ph/9706284v1

Phys.Lett. B406 (1997) 149-153

Physics

High Energy Physics

High Energy Physics - Phenomenology

7 pages, Latex, 3 figures to be delivered from the authors by request, to appear in Phys. Lett. B

Scientific paper

10.1016/S0370-2693(97)00626-6

A Finite Energy QCD sum rule at non-zero temperature is used to determine the $q^2$- and the T-dependence of the $\rho \pi \pi$ vertex function in the space-like region. A comparison with an independent QCD determination of the electromagnetic pion form factor $F_{\pi}$ at $T \neq 0$ indicates that Vector Meson Dominance holds to a very good approximation at finite temperature. At the same time, analytical evidence for deconfinement is obtained from the result that $g_{\rho \pi \pi}(q^{2},T)$ vanishes at the critical temperature $T_c$, independently of $q^{2}$. Also, by extrapolating the $\rho \pi \pi$ form factor to $q^2 = 0$, it is found that the pion radius increases with increasing $T$, and it diverges at $T=T_c$.

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