Magnetized domain walls in the deconfined Sakai-Sugimoto model at finite Baryon density

Abstract

Abstract:The magnetized pure pion gradient (▽ϕ) phase in the deconfined SakaiSugimoto model is explored at zero and finite temperature. We found that the temperature has very small effects on the phase. The thermodynamical properties of the phase show that the excitations behave like scalar solitonic free particles. By comparing the free energy of the pion gradient phase to the competing multiquark-pion gradient (MQ-▽ϕ) phase, it becomes apparent that the pure pion gradient is less thermodynamically preferred than the MQ-▽ϕ phase. However, in the parameter space where the baryonic chemical potential is smaller than the onset value of the multiquark, the dominating magnetized nuclear matter is the pion gradient phase.

Holographic baryonic matter in a background magnetic field

“…Our study has some overlap with refs. [48][49][50]. While these references treat the baryonic phase purely numerically, we shall present analytical approximations which enable us to interpret the results physically.…”

“…Therefore, our study is also an extension of [35] to the non-antipodal deconfined case, where the phase structure is much richer, as we will see. Our study has some overlap with [48][49][50]. While these references treat the baryonic phase purely numerically, we will present analytical approximations which enable us to interpret the results physically.…”

“…This unphysical onset is considered in[50]: the T = 0 onset in figure9of this reference corresponds to the dashed line in our figure2. It seems that this discrepancy originates from incorrectly scaling S D4 with the total density n, not n 4 ; see equation (2.4) in[49] which apparently is used in[50] (and in[48]).…”

“…This unphysical onset is considered in[50]: the T = 0 onset in figure9of this reference corresponds to the dashed line in our figure2. It seems that this discrepancy originates from incorrectly scaling S D4 with the total density n, not n 4 ; see equation (2.4) in[49] which apparently is used in[50] (and in[48]). This difference is very important for the topology of the resulting phase diagram: as we will see in section 5.1, the physical onset line intersects the chiral phase transition line, see figure6; this is not the case for the dashed line.…”