Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 8, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP08(2018)109
Keywords
Renormalization Regularization and Renormalons; Anomalies in Field and String Theories; Field Theories in Lower Dimensions
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Funding
- Spanish MINECO [FPA2016-78220-C3-1-P]
- Junta de Andalucia grant [FQM101]
- European Commission [PITN-GA-2012-316704]
- CAPES (Coordenacao de Aperfeicoamento de Pessoal de Nivel Superior), Brazil
- COST Action [CA16201]
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We study the Lorentz and Dirac algebra, including the antisymmetric epsilon tensor 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.
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