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题名: Consistency and advantage of loop regularization method merging with Bjorken-Drell
作者: Huang, D ;  Wu, YL
刊名: EUROPEAN PHYSICAL JOURNAL C
出版日期: 2012
卷号: 72, 期号:7, 页码:2066
关键词: GRAVITATIONAL CONTRIBUTIONS ;  FIELD-THEORIES ;  RENORMALIZATION ;  QFTS
学科分类: Physics
通讯作者: Huang, D (reprint author), Chinese Acad Sci, State Key Lab Theoret Phys SKLTP, Kavli Inst Theoret Phys China KITPC, Inst Theoret Phys, Beijing 100190, Peoples R China.
部门归属: [Huang, Da; Wu, Yue-Liang] Chinese Acad Sci, State Key Lab Theoret Phys SKLTP, Kavli Inst Theoret Phys China KITPC, Inst Theoret Phys, Beijing 100190, Peoples R China
英文摘要: The consistency of loop regularization (LORE) method is explored in multiloop calculations. A key concept of the LORE method is the introduction of irreducible loop integrals (ILIs) which are evaluated from the Feynman diagrams by adopting the Feynman parametrization and ultraviolet-divergence-preserving (UVDP) parametrization. It is then inevitable for the ILIs to encounter the divergences in the UVDP parameter space due to the generic overlapping divergences in the four-dimensional momentum space. By computing the so-called alpha beta gamma integrals arising from two-loop Feynman diagrams, we show how to deal with the divergences in the parameter space with the LORE method. By identifying the divergences in the UVDP parameter space to those in the subdiagrams, we arrive at the Bjorken-Drell analogy between Feynman diagrams and electrical circuits. The UVDP parameters are shown to correspond to the conductance or resistance in the electrical circuits, and the divergence in Feynman diagrams is ascribed to the infinite conductance or zero resistance. In particular, the sets of conditions required to eliminate the overlapping momentum integrals for obtaining the ILIs are found to be associated with the conservations of electric voltages, and the momentum conservations correspond to the conservations of electrical currents, which are known as the Kirchhoff laws in the electrical circuits analogy. As a practical application, we carry out a detailed calculation for one-loop and two-loop Feynman diagrams in the massive scalar phi(4) theory, which enables us to obtain the well-known logarithmic running of the coupling constant and the consistent power-law running of the scalar mass at two-loop level. Especially, we present an explicit demonstration on the general procedure of applying the LORE method to the multiloop calculations of Feynman diagrams when merging with the advantage of Bjorken-Drell's circuit analogy.
资助者: National Science Foundation of China (NSFC) [10821504, 10975170]; key project of the Chinese Academy of Science
收录类别: SCI
原文出处: 查看原文
语种: 英语
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/15066
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Recommended Citation:
Huang, D,Wu, YL. Consistency and advantage of loop regularization method merging with Bjorken-Drell[J]. EUROPEAN PHYSICAL JOURNAL C,2012,72(7):2066.
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