Deconfinement phase transition in a magnetic field in 2+1 dimensions from holographic models
arXiv:1709.09258 · doi:10.1016/j.physletb.2018.02.049
Abstract
Using two different models from holographic quantum chromodynamics (QCD) we study the deconfinement phase transition in dimensions in the presence of a magnetic field. Working in 2+1 dimensions lead us to {\sl exact} solutions on the magnetic field, in contrast with the case of 3+1 dimensions where the solutions on the magnetic field are perturbative. As our main result we predict a critical magnetic field where the deconfinement critical temperature vanishes. For weak fields meaning we find that the critical temperature decreases with increasing magnetic field indicating an inverse magnetic catalysis (IMC). On the other hand, for strong magnetic fields we find that the critical temperature raises with growing field showing a magnetic catalysis (MC). These results for IMC and MC are in agreement with the literature.
V.2: 10 pages, 2 figures. Text improved. New references included. Typos corrected. Results unchanged. This version matches the published one in PLB
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