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arXiv · 0712.1336

$π$ and $σ$ mesons at finite temperature and density in the NJL model with dimensional regularization

T. Inagaki·D. Kimura·A. Kvinikhidze
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Abstract

Dynamical Symmetry breaking and meson masses are studied in the Nambu-Jona-Lasinio (NJL) model at finite temperature and chemical potential using the dimensional regularization. Since the model is not renormalizable in four space-time dimensions, physical results and parameters depend on the regularization method. Following the imaginary time formalism, we introduce the temperature, $T$ and the chemical potential, $μ$. The parameters in the model are fixed by calculating the pion mass and decay constant in the dimensional regularization at $T=μ=0$.

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T. Inagaki, D. Kimura, A. Kvinikhidze. 2008-01-25. $π$ and $σ$ mesons at finite temperature and density in the NJL model with dimensional regularization. https://doi.org/10.1103/physrevd.77.116004

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