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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/199856Dynamical 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 $T=μ=0$.28 pages, 9 figures, v2: a few points corrected and references addedHigh Energy Physics - Phenomenology$π$ and $σ$ mesons at finite temperature and density in the NJL model with dimensional regularizationtext