Axial anomaly, vector meson dominance and $π^0 \to γγ$ at finite temperature

Details Axial anomaly, vector meson dominance and $π^0 \to γγ$ at finite temperature Axial anomaly, vector meson dominance and $π^0 \to γγ$ at finite temperature

2000-02-25

arxiv.org/abs/hep-ph/0002269v1

Phys.Lett. B481 (2000) 295-298

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages, no figures

Scientific paper

10.1016/S0370-2693(00)00453-6

A thermal Finite Energy QCD Sum Rule is used to determine the temperature behaviour of the $\omega \rho \pi$ strong coupling. This coupling decreases with increasing $T$ and vanishes at the critical temperature, a likely signal for quark deconfinement. This is then used in the Vector Meson Dominance (VMD) expression for the $\pi^0 \to \gamma \gamma$ amplitude, which is also found to vanish at the critical temperature, as expected. This result supports the validity of VMD at $T \neq 0$. However, if VMD would not hold at finite temperature, then there is no prediction for the $\pi^0 \to \gamma \gamma$ amplitude.

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