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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
Source PublicationINTERNATIONAL JOURNAL OF MODERN PHYSICS A
KeywordPauli-villars Regularization Abelian Gauge-theories Supersymmetric Dimensional Regularization Differential Renormalization Covariant Theory Space Behavior Gravity Lattice Model
AbstractThrough 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
ISSN0217-751X
Volume18Issue:29Pages:5363-5419
Subject AreaPhysics
Indexed BySCI
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Cited Times:31[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/14182
Collection理论物理所科研产出_SCI论文
Corresponding AuthorWu, YL , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
Recommended Citation
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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