Properties of neutral mesons in a hot and magnetized quark matter: size-dependent effects

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 antiperiodic conditions, we evaluate the chiral phase transition, the constituent quark mass and meson observables like the ${\pi }^0$ and $\sigma$ meson masses and pion decay constant under the change of the size, temperature, chemical potential and strength of external magnetic field. The results indicate that the observables are strongly affected by the conjoint effects of relevant variables, and the net result will depend on the balance of these competing phenomena.

15 pages; 18 figures. In the second version of the manuscript, we have obtained results with both periodic and antiperiodic boundary conditions; a new Subsection (III.A) has been included with a discussion of the behavior of the critical coupling constant concerning the different boundary conditions; the physical discussion of the results has been enriched

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Cited by in corpus (5)

• Inverse magnetic catalysis and size-dependent effects on the chiral symmetry restoration
• Thermomagnetic effects on light pseudo-scalar meson masses within the SU(3) Nambu-Jona--Lasinio model
• Boundary conditions and electromagnetic effects on the phase transition of a zero spin bosonic system
• Casimir effect in magnetic dual chiral density waves
• Finite size effects in the phase transition patterns of coupled scalar field systems