Abstract
We study the Lorentz and Dirac algebra, including the antisymmetric ϵ tensor and the γ5 matrix, in implicit gauge-invariant regularization/renormalization methods defined in fixed integer dimensions. They include constrained differential, implicit and four-dimensional renormalization. We find that these fixed-dimension methods face the same difficulties as the different versions of dimensional regularization. We propose a consistent procedure in these methods, similar to the consistent version of regularization by dimensional reduction.
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Bruque, A.M., Cherchiglia, A.L. & Pérez-Victoria, M. Dimensional regularization vs methods in fixed dimension with and without γ5. J. High Energ. Phys. 2018, 109 (2018). https://doi.org/10.1007/JHEP08(2018)109
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DOI: https://doi.org/10.1007/JHEP08(2018)109