Holographic entanglement entropy exhibits a swallow-tail structure indicating connected-to-disconnected transitions for perpendicular magnetic fields in the QCD phase diagram while remaining monotonic for parallel fields, consistent with black hole thermodynamics.
A background magnetic field B is introduced through the second gauge field via F(2)M N = Bdx2 ∧ dx3, which breaks the SO(3) rotational symmetry as B is aligned along the x1-direction
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Holographic entanglement entropy in the QCD phase diagram under external magnetic field
Holographic entanglement entropy exhibits a swallow-tail structure indicating connected-to-disconnected transitions for perpendicular magnetic fields in the QCD phase diagram while remaining monotonic for parallel fields, consistent with black hole thermodynamics.