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Dimensional regularization vs methods in fixed dimension with and without $\gamma_5$

We study the Lorentz and Dirac algebra, including the antisymmetric ϵ tensor and the γ$_{5}$ matrix, in implicit gauge-invariant regularization/renormalization methods defined in fixed integer dimensions. They include constrained differential, implicit and four-dimensional renormalization. We find t...

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Detalles Bibliográficos
Autores principales: Bruque, A.M., Cherchiglia, A.L., Pérez-Victoria, M.
Lenguaje:eng
Publicado: 2018
Materias:
Acceso en línea:https://dx.doi.org/10.1007/JHEP08(2018)109
http://cds.cern.ch/record/2312594
Descripción
Sumario:We study the Lorentz and Dirac algebra, including the antisymmetric ϵ tensor and the γ$_{5}$ 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.