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题名: Symmetry principle preserving and infinity free regularization and renormalization of quantum field theories and the mass gap
作者: Wu, YL
刊名: INTERNATIONAL JOURNAL OF MODERN PHYSICS A
出版日期: 2003
卷号: 18, 期号:29, 页码:5363-5419
关键词: PAULI-VILLARS REGULARIZATION ;  ABELIAN GAUGE-THEORIES ;  SUPERSYMMETRIC DIMENSIONAL REGULARIZATION ;  DIFFERENTIAL RENORMALIZATION ;  COVARIANT THEORY ;  SPACE ;  BEHAVIOR ;  GRAVITY ;  LATTICE ;  MODEL
学科分类: Physics
通讯作者: Wu, YL , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
部门归属: Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China
英文摘要: Through defining irreducible loop integrals (ILI's), a set of consistency conditions for the regularized (quadratically and logarithmically) divergent ILI's are obtained to maintain the generalized Ward identities of gauge invariance in non-Abelian gauge theories. The ILI's of arbitrary loop graphs can be evaluated from the corresponding Feynman loop integrals by adopting an ultraviolet (UV) divergence preserving parameter method. Overlapping UV divergences are explicitly shown to be factorizable in the ILI's and be harmless via suitable subtractions. A new regularization and renormalization method is presented in the initial space-time dimension of the theory. The procedure respects unitarity and causality. Of interest, the method leads to an infinity free renormalization and meanwhile maintains the symmetry principles of the original theory except the intrinsic mass scale caused conformal scaling symmetry breaking and the anomaly induced symmetry breaking. Tadpole graphs of Yang-Mills gauge fields are found to play an essential role for maintaining manifest gauge invariance via cancellations of quadratically divergent ILI's. Quantum field theories (QFT's) regularized through the new method are well defined and governed by a physically meaningful characteristic energy scale (CES) MC and a physically interesting sliding energy scale (SES) mu(s) which can run from mu(s) similar to M-c to a dynamically generated mass gap mu(s) = mu(c) or to mu(s) = 0 in the absence of mass gap and infrared (IR) problem. For M-c --> infinity, the initial UV divergent properties of QFT's are recovered and well-defined. In fact, the CES M,: and SES at p, = M. play the role of UV and IR cutoff energy scales respectively. It is strongly indicated that the conformal scaling symmetry and its breaking mechanism play an important role for understanding the mass gap and quark confinement. The new method is developed to be applicable for both underlying renormalizable QFT's and effective QFT's. It also leads to a set of conjectures on mathematically interesting numbers and functional limits which may provide deep insights in mathematics.
收录类别: SCI
原文出处: 查看原文
WOS记录号: WOS:000187232400003
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/14182
Appears in Collections:理论物理所1978-2010年知识产出_期刊论文

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Wu, YL. Symmetry principle preserving and infinity free regularization and renormalization of quantum field theories and the mass gap[J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A,2003,18(29):5363-5419.
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