Abstract
In this work, we study finite density effects in spontaneous chiral symmetry breaking as well as chiral phase transition under the influence of a background magnetic field in $2+1$ dimensions. For this purpose, we use an improved holographic soft wall model based on an interpolated dilaton profile. We find inverse magnetic catalysis at finite density. We observe that the chiral condensate decreases as the density increases, and the two effects (addition of magnetic field and chemical potential) sum up, decreasing even more the chiral condensate.
Highlights
Systems with finite chemical potential for fermions are a challenging and actual subject
In this work, our focus is to study the finite density effects on chiral symmetry breaking in the presence of a background constant magnetic field B in 2 þ 1 dimensions based on holographic studies done at zero density in Refs. [38,39,40,41]
We were able to extrapolate some of our results for very low temperatures within the deconfined phase in order to show that our model realizes spontaneous breaking of chiral symmetry
Summary
Systems with finite chemical potential for fermions are a challenging and actual subject. In this work, our focus is to study the finite density effects on chiral symmetry breaking in the presence of a background constant magnetic field B in 2 þ 1 dimensions based on holographic studies done at zero density in Refs. Our choice for a dimensional reduction comes from the fact that, in 2 þ 1 dimensions, our model has a computational task easier than in real QCD even when considering both nonzero chemical potentials and magnetic fields. This approach is very useful, since we can learn from this model and try to extrapolate it to real QCD.
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