One-loop effective Lagrangian for Dirac fermions on a magnetic four-torus, with magnetization that can flip between paramagnetic and diamagnetic under twisted boundary conditions.
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Effective Lagrangian of a fermion field in a nontrivial topology under magnetic effects
One-loop effective Lagrangian for Dirac fermions on a magnetic four-torus, with magnetization that can flip between paramagnetic and diamagnetic under twisted boundary conditions.