Dimensional regularization vs methods in fi xed dimension with and without y5
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Renormalization Regularization and RenormalonsAnomalies in Field and String TheoriesField Theories in Lower Dimensions
Bruque, A. M., Cherchiglia, A. L., & Pérez-Victoria, M. (2018). Dimensional regularization vs methods in fixed dimension with and without γ 5. Journal of High Energy Physics, 2018(8), 109.
SponsorshipThe work of A.M.B. and M.P.V. has been supported by the Spanish MINECO project FPA2016-78220-C3-1-P (Fondos FEDER) and the Junta de Andalucía grant FQM101. The work of M.P.V. has also been supported by the European Commission, through the contract PITN-GA-2012-316704 (HIGGSTOOLS). A.L.C. acknowledges nancial support from CAPES (Coordenação de Aperfeiçoamento de Pessoal de Nível Superior), Brazil, as well as networking support by the COST Action CA16201.
We study the Lorentz and Dirac algebra, including the antisymmetric e tensor and the y 5 matrix, in implicit gauge-invariant regularization/renormalization methods de ned in xed integer dimensions. They include constrained differential, implicit and four-dimensional renormalization. We nd that these xed-dimension methods face the same di culties 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.