Symmetry principle preserving and infinity free regularization and renormalization of quantum field theories and the mass gap

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	Wu, YL; Wu, YL , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
	Symmetry principle preserving and infinity free regularization and renormalization of quantum field theories and the mass gap
发表期刊	INTERNATIONAL JOURNAL OF MODERN PHYSICS A (IF:1.291[JCR-2017],1.297[5-Year])
关键词	Pauli-villars Regularization Abelian Gauge-theories Supersymmetric Dimensional Regularization Differential Renormalization Covariant Theory Space Behavior Gravity Lattice Model
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.
	2003
ISSN	0217-751X
卷号	18 期号:29 页码:5363-5419
学科领域	Physics
收录类别	SCI
引用统计	被引频次：32[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.itp.ac.cn/handle/311006/14182
专题	SCI期刊论文
通讯作者	Wu, YL , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
推荐引用方式 GB/T 7714	Wu, YL,Wu, YL , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.. 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.
APA	Wu, YL,&Wu, YL , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China..(2003).Symmetry principle preserving and infinity free regularization and renormalization of quantum field theories and the mass gap.INTERNATIONAL JOURNAL OF MODERN PHYSICS A,18(29),5363-5419.
MLA	Wu, YL,et al."Symmetry principle preserving and infinity free regularization and renormalization of quantum field theories and the mass gap".INTERNATIONAL JOURNAL OF MODERN PHYSICS A 18.29(2003):5363-5419.

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