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

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

2007-12-09

arxiv.org/abs/0712.1336v2

Phys.Rev.D77:116004,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

28 pages, 9 figures, v2: a few points corrected and references added

Scientific paper

10.1103/PhysRevD.77.116004

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, $\mu$. The parameters in the model are fixed by calculating the pion mass and decay constant in the dimensional regularization at $T=\mu=0$.

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