arXiv · hep-ph/0002269
Axial anomaly, vector meson dominance and $π^0 \to γγ$ at finite temperature
Abstract
A thermal Finite Energy QCD Sum Rule is used to determine the temperature behaviour of the $ωρπ$ 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 $π^0 \to γγ$ 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 $π^0 \to γγ$ amplitude.
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C. A. Dominguez, M. Loewe. 2000-02-25. Axial anomaly, vector meson dominance and $π^0 \to γγ$ at finite temperature. https://doi.org/10.1016/s0370-2693(00)00453-6
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