Thermo-magnetic corrections to $\pi$-$\pi$ Scattering Lengths in the Linear Sigma Model

Phys. Rev. D 100, 116006 (2019) 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 i...

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Bibliographic Details
Main Authors Loewe, Marcelo, Muñoz, Enrique, Zamora, Renato
Format Journal Article
LanguageEnglish
Published 08.05.2019
Subjects
Physics - High Energy Physics - Phenomenology
Physics - High Energy Physics - Theory
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Summary:Phys. Rev. D 100, 116006 (2019) 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.
DOI:10.48550/arxiv.1905.03783