The RGUP field-theory corrections collapse to trivial constant rescalings of kinetic terms, and the fermionic correction vanishes identically.
The curved spacetime couterpart of γ matrices is γµ =eµ αγα and also satisfies, {γµ,γν} = 2gµν
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RGUP Corrections to Scalar and Fermionic Fields
The RGUP field-theory corrections collapse to trivial constant rescalings of kinetic terms, and the fermionic correction vanishes identically.