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Article
Report number	arXiv:1803.09764 ; CERN-TH-2018-058
Title	Dimensional regularization vs methods in fixed dimension with and without $\gamma_5$
Author(s)	Bruque, A.M. (CAFPE, Granada ; Granada U., Theor. Phys. Astrophys.) ; Cherchiglia, A.L. (ABC Federal U.) ; Pérez-Victoria, M. (CAFPE, Granada ; Granada U., Theor. Phys. Astrophys. ; CERN)
Publication	2018-08-20
Imprint	2018-03-26
Number of pages	36
In:	JHEP 08 (2018) 109
DOI	10.1007/JHEP08(2018)109
Subject category	hep-th ; Particle Physics - Theory ; hep-ph ; Particle Physics - Phenomenology
Abstract	We study the Lorentz and Dirac algebra, including antisymmetric $\epsilon$ tensors and the $\gamma_5$ 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.
Copyright/License	publication: (License: CC-BY-4.0) preprint: (License: arXiv nonexclusive-distrib 1.0)

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