@misc{10481/58078, year = {2018}, month = {8}, url = {http://hdl.handle.net/10481/58078}, abstract = {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.}, organization = {The 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.}, publisher = {Springer Nature}, keywords = {Renormalization Regularization and Renormalons}, keywords = {Anomalies in Field and String Theories}, keywords = {Field Theories in Lower Dimensions}, title = {Dimensional regularization vs methods in fi xed dimension with and without y5}, author = {Bruque, A M and Cherchiglia, A L and Pérez-Victoria Moreno De Barreda, Manuel María}, }