One-Loop Renormalization of Non-Abelian Gauge Theory and βFunction Based on Loop Regularization Method

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dc.creatorCui, Jian-Wei
dc.creatorWu, Yue-Liang
dc.date2008-01-15
dc.date2008-01-24
dc.date.accessioned2026-07-07T11:55:14Z
dc.date.available2026-07-07T11:55:14Z
dc.descriptionAll one-loop renormalization constants for Non-Abelian gauge theory are computed in details by using the symmetry-preserving Loop Regularization method proposed in\cite{LR1,LR2}. The resulting renormalization constants are manifestly shown to satisfy Ward-Takahaski-Slavnov-Taylor identities, and lead to the well-known one loop $β$ function for Non-Abelian gauge theory of QCD\cite{GWP}. The loop regularization method is realized in the dimension of original field theories, it maintains not only symmetries but also divergent behaviors of original field theories with the introduction of two energy scales. Such two scales play the roles of characterizing and sliding energy scales as well as ultraviolet and infrared cutoff energy scales. An explicit Check of those identities provides a clear demonstration how the symmetry-preserving Loop Regularization method can consistently be applied to non-Abelian gauge theories.
dc.description32 pages, 7 figures, references added
dc.identifierhttps://arxiv.org/abs/0801.2199
dc.identifierhttp://arxiv.org/abs/0801.2199
dc.identifierInt.J.Mod.Phys.A23:2861-2913,2008
dc.identifierdoi:10.1142/S0217751X08040305
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/205177
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.titleOne-Loop Renormalization of Non-Abelian Gauge Theory and βFunction Based on Loop Regularization Method
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