Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2008-01-15
Int.J.Mod.Phys.A23:2861-2913,2008
Physics
High Energy Physics
High Energy Physics - Phenomenology
32 pages, 7 figures, references added
Scientific paper
10.1142/S0217751X08040305
All 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 $\beta$ 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.
Cui Jian-Wei
Wu Yue-Liang
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