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Wu, YL; Wu, YL (reprint author), Chinese Acad Sci, Inst Theoret Phys, Kavli Inst Theoret Phys China KITPC, State Key Lab Theoret Phys SKLTP, Beijing 100190, Peoples R China.
QUANTUM STRUCTURE OF FIELD THEORY AND STANDARD MODEL BASED ON INFINITY-FREE LOOP REGULARIZATION/RENORMALIZATION
Source PublicationINTERNATIONAL JOURNAL OF MODERN PHYSICS A
Language英语
KeywordPauli-villars Regularization Supersymmetric Dimensional Regularization Abelian Gauge Theories Yang-mills Field Gravitational Contributions Renormalization-group Differential Regularization Feynman Diagrams Symmetry Space
AbstractTo understand better the quantum structure of field theory and standard model in particle physics, it is necessary to investigate carefully the divergence structure in quantum field theories (QFTs) and work out a consistent framework to avoid infinities. The divergence has got us into trouble since developing quantum electrodynamics in 1930s. Its treatment via the renormalization scheme is satisfied not by all physicists, like Dirac and Feynman who have made serious criticisms. The renormalization group analysis reveals that QFTs can in general be defined fundamentally with the meaningful energy scale that has some physical significance, which motivates us to develop a new symmetry-preserving and infinity-free regularization scheme called loop regularization (LORE). A simple regularization prescription in LORE is realized based on a manifest postulation that a loop divergence with a power counting dimension larger than or equal to the space-time dimension must vanish. The LORE method is achieved without modifying original theory and leads the divergent Feynman loop integrals well-defined to maintain the divergence structure and meanwhile preserve basic symmetries of original theory. The crucial point in LORE is the presence of two intrinsic energy scales which play the roles of ultraviolet cutoff M-c and infrared cutoff mu(s) to avoid infinities. As M-c can be made finite when taking appropriately both the primary regulator mass and number to be infinity to recover the original integrals, the two energy scales M c and mu(s) in LORE become physically meaningful as the characteristic energy scale and sliding energy scale, respectively. The key concept in LORE is the introduction of irreducible loop integrals (ILIs) on which the regularization prescription acts, which leads to a set of gauge invariance consistency conditions between the regularized tensor-type and scalar-type ILIs. An interesting observation in LORE is that the evaluation of ILIs with ultraviolet-divergence-preserving (UVDP) parametrization naturally leads to Bjorken-Drell's analogy between Feynman diagrams and electric circuits, which enables us to treat systematically the divergences of Feynman diagrams and understand better the divergence structure of QFTs. The LORE method has been shown to be applicable to both underlying and effective QFTs. Its consistency and advantages have been demonstrated in a series of applications, which includes the Slavnov-Taylor-Ward-Takahaski identities of gauge theories and supersymmetric theories, quantum chiral anomaly, renormalization of scalar interaction and power-law running of scalar mass, quantum gravitational effects and asymptotic free power-law running of gauge couplings.
2014
ISSN0217-751X
Volume29Issue:3-4Pages:1430007
Subject AreaPhysics
DOI10.1142/S0217751X14300075
Indexed BySCI
Funding OrganizationNational Science Foundation of China (NSFC) [10821504, 10975170]; key project of the Chinese Academy of Science ; National Science Foundation of China (NSFC) [10821504, 10975170]; key project of the Chinese Academy of Science ; National Science Foundation of China (NSFC) [10821504, 10975170]; key project of the Chinese Academy of Science ; National Science Foundation of China (NSFC) [10821504, 10975170]; key project of the Chinese Academy of Science
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/15479
Collection理论物理所科研产出_SCI论文
Corresponding AuthorWu, YL (reprint author), Chinese Acad Sci, Inst Theoret Phys, Kavli Inst Theoret Phys China KITPC, State Key Lab Theoret Phys SKLTP, Beijing 100190, Peoples R China.
Recommended Citation
GB/T 7714
Wu, YL,Wu, YL . QUANTUM STRUCTURE OF FIELD THEORY AND STANDARD MODEL BASED ON INFINITY-FREE LOOP REGULARIZATION/RENORMALIZATION[J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A,2014,29(3-4):1430007.
APA Wu, YL,&Wu, YL .(2014).QUANTUM STRUCTURE OF FIELD THEORY AND STANDARD MODEL BASED ON INFINITY-FREE LOOP REGULARIZATION/RENORMALIZATION.INTERNATIONAL JOURNAL OF MODERN PHYSICS A,29(3-4),1430007.
MLA Wu, YL,et al."QUANTUM STRUCTURE OF FIELD THEORY AND STANDARD MODEL BASED ON INFINITY-FREE LOOP REGULARIZATION/RENORMALIZATION".INTERNATIONAL JOURNAL OF MODERN PHYSICS A 29.3-4(2014):1430007.
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