Effect of pion thermal width on the sigma spectrum

Details Effect of pion thermal width on the sigma spectrum Effect of pion thermal width on the sigma spectrum

2003-10-27

arxiv.org/abs/hep-ph/0310296v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

Contribution to the International Workshop on QCD: QCD@Work 2003 - Conversano (Italy) 14-18 June 2003 (eConf C030614)

Scientific paper

We study the effect of the thermal width of $\pi$ on the spectral function of $\sigma$. In order to take into account a finite thermal width of $\pi$, we replace the internal pion mass in the self-energy of $\sigma$ with that of the complex pole found in a previous paper. The obtained spectral function for $T\aplg 100 {\rm MeV}$ turns out to possess two broad peaks. Although a sharp peak at $\sigma\to\pi\pi$ threshold was observed in the one-loop calculation without the pion thermal width, the peak is shown to be smeared out. We also search for the poles of the $\sigma$ propagator and analyze the behavior of the spectral function with these poles.

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