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Cui, Jian-Wei; Wu, Yue-Liang; Cui, JW , Chinese Acad Sci, Inst Theoret Phys, Kavli Inst Theoret Phys China, Beijing 100080, Peoples R China
One-loop renormalization of non-Abelian gauge theory and beta function based on loop regularization method
Source PublicationINTERNATIONAL JOURNAL OF MODERN PHYSICS A
KeywordConstrained Differential Renormalization Background-field Gauge Yang-mills Fields Invariant Operators Perturbation-theory Symmetries Identities Qfts
AbstractAll one-loop renormalization constants for non-Abelian gauge theory are computed in detail by using the symmetry-preserving loop regularization method proposed in Refs. 1 and 2. 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.(3-5) 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.
2008
ISSN0217-751X
Volume23Issue:19Pages:2861-2913
Subject AreaPhysics
Indexed BySCI
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Cited Times:13[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/5499
CollectionSCI期刊论文
Corresponding AuthorCui, JW , Chinese Acad Sci, Inst Theoret Phys, Kavli Inst Theoret Phys China, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Cui, Jian-Wei,Wu, Yue-Liang,Cui, JW , Chinese Acad Sci, Inst Theoret Phys, Kavli Inst Theoret Phys China, Beijing 100080, Peoples R China. One-loop renormalization of non-Abelian gauge theory and beta function based on loop regularization method[J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A,2008,23(19):2861-2913.
APA Cui, Jian-Wei,Wu, Yue-Liang,&Cui, JW , Chinese Acad Sci, Inst Theoret Phys, Kavli Inst Theoret Phys China, Beijing 100080, Peoples R China.(2008).One-loop renormalization of non-Abelian gauge theory and beta function based on loop regularization method.INTERNATIONAL JOURNAL OF MODERN PHYSICS A,23(19),2861-2913.
MLA Cui, Jian-Wei,et al."One-loop renormalization of non-Abelian gauge theory and beta function based on loop regularization method".INTERNATIONAL JOURNAL OF MODERN PHYSICS A 23.19(2008):2861-2913.
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