Dimensional regularization vs methods in fi xed dimension with and without y5 Bruque, A M Cherchiglia, A L Pérez-Victoria Moreno De Barreda, Manuel María Renormalization Regularization and Renormalons Anomalies in Field and String Theories Field Theories in Lower Dimensions 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. 2019-11-26T11:58:40Z 2019-11-26T11:58:40Z 2018-08-20 info:eu-repo/semantics/article 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. http://hdl.handle.net/10481/58078 eng http://creativecommons.org/licenses/by/3.0/es/ info:eu-repo/semantics/openAccess Atribución 3.0 España Springer Nature