Abstract
In this work we investigate the combined finite-size and thermomagnetic effects on the properties of neutral mesons in a hot medium, in the context of the Nambu--Jona-Lasinio model. In particular, by using the mean-field approximation and the Schwinger proper time method in a toroidal topology with periodic and antiperiodic conditions, we evaluate the chiral phase transition, the critical coupling, the constituent quark mass and meson observables like the ${\ensuremath{\pi}}^{0}$ and $\ensuremath{\sigma}$ meson masses and pion decay constant under the change of the size, temperature and strength of external magnetic field. The results indicate that the observables are strongly affected by the conjoint effects of relevant variables and also by the periodicity of the boundary conditions chosen, and the net result will depend on the balance of these competing phenomena.
Highlights
The comprehension of strongly interacting matter under extreme conditions remains nowadays as one of the major challenges for the experimental and theoretical particle physics community
The NJL model with isospin symmetry in mean-field parameters is characterized by the following parameters: the coupling constant gs, the ultraviolet cutoff Λ, and the current quark mass m or equivalently the constituent quark mass M
In this work we have examined the competition between the finite volume and magnetic effects on the properties of neutral mesons in a hot medium, in the context of the Nambu–Jona-Lasinio model
Summary
The comprehension of strongly interacting matter under extreme conditions remains nowadays as one of the major challenges for the experimental and theoretical particle physics community. In light of the intrincate mathematical structure of QCD, effective models that incorporate some of its properties have been largely employed. In this sense, four-fermion models, as the Nambu–JonaLasinio (NJL) model, are very useful for the investigation of dynamical chiral symmetry phase transition when the system is under extreme conditions [4–9].
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