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arXiv · 1310.5789

The Linear Sigma Model and the formation of a charged pion condensate in the presence of an external magnetic field

M. Loewe·C. Villavicencio·R. Zamora
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Abstract

We discuss the charged pion condensation phenomenon in the linear sigma model, in the presence of an external uniform magnetic field. The critical temperature is obtained as a function of the external magnetic field, assuming the transition is of second order, by considering a dilute gas at low temperature. As a result we found magnetic anti-catalysis in the Bose-Einstein condensation for lower values of the external magnetic field, and catalysis for higher values of the external magnetic field. This behavior confirms previous results with a single charged scalar field.

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M. Loewe, C. Villavicencio, R. Zamora. 2013-10-22. The Linear Sigma Model and the formation of a charged pion condensate in the presence of an external magnetic field. https://doi.org/10.1103/physrevd.89.016004

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