Thermal Corrections to $\pi$-$\pi$ Scattering Lengths in the Linear Sigma Model
| Autor: | Loewe, Marcelo, Martínez V, Cristian |
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| Rok vydání: | 2008 |
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| Zdroj: | Phys.Rev.D77:105006,2008; Erratum-ibid.D78:069902,2008 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevD.77.105006 |
| Popis: | In this article we explore the thermal evolution of the $\pi$-$\pi$ scattering lengths in the frame of the linear sigma model. We compute, using thermofield dynamics, all the one loop diagrams that contribute to $\pi$-$\pi$ scattering. We restrict ourselves to temperature correction only in the pion sector, due to the Boltzmann supression for the sigma meson. From this analysis we obtain the thermal behavior of $a_0^0$ and $a_0^2$, s-waves scattering lengths in the isospin channel I=0 and I=2 respectively. It turns out that $a_0^0$ grows whereas $a_0^2$ diminishes as function of temperature. We compare our results with other determinations of the thermal behavior of these magnitudes. Comment: 8 pages. Keywords: Finite temperature field theory; scattering lengths; linear sigma model. A new reference has been added. Written in RevTex4. The paper is being accepted for publication in Phys. Rev. D. The size of the manuscript was reduced considerably |
| Databáze: | arXiv |
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