Vacuum quantum Fisher information versus mass scales as m^{d-2} for free Klein–Gordon fields, diverges or shrinks under ϕ⁴ interactions, and is UV-divergent or zero for free Dirac fields depending on dimension.
Alvarez-Jimenez, A
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Quantum Fisher information of the Klein--Gordon, $\phi^4$, and Dirac vacua
Vacuum quantum Fisher information versus mass scales as m^{d-2} for free Klein–Gordon fields, diverges or shrinks under ϕ⁴ interactions, and is UV-divergent or zero for free Dirac fields depending on dimension.