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Thermo-magnetic corrections to $\pi$-$\pi$ Scattering Lengths in the Linear Sigma Model
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abstract
In this article, we extend our previous study of the $\pi$-$\pi$ scattering lengths under the presence of an external magnetic field, including finite temperature effects. The novelty of this work is precisely the introduction of temperature into the discussion, and its interplay with the magnetic field. As in the previous article, we base our analysis in the linear sigma-model, and our calculations are exact within this context. Although the effects are comparatively small, it is interesting to remark that magnetic field and temperature display opposite effects over the scattering lengths.
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Cited by 1 Pith paper
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Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field
In the linear sigma model with quarks, the neutral pion mass first falls and then rises as the external magnetic field grows, a nonmonotonic curve that the earlier weak-field calculation did not show.
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