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Wu, Yue-Liang; Wu, YL , Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China
Large component QCD and theoretical framework of heavy quark effective field theory
Source PublicationINTERNATIONAL JOURNAL OF MODERN PHYSICS A
KeywordCb-vertical-bar Bottom Hadron Decays V-ub Form-factors Matrix-elements Hqeft Mesons Renormalization Transitions Constants
AbstractBased on a large component QCD derived directly from full QCD by integrating over the small components of quark fields with vertical bar p vertical bar < E + m(Q), an alternative quantization procedure is adopted to establish a basic theoretical framework of heavy quark effective field theory (HQEFT) in the sense of effective quantum field theory. The procedure concerns quantum generators of Poincare group, Hilbert and Fock space, anticommutations and velocity superselection rule, propagator and Feynman rules, finite mass corrections, trivialization of gluon couplings and renormalization of Wilson loop. The Lorentz invariance and discrete symmetries in HQEFT are explicitly illustrated. Some new symmetries in the infinite mass limit are discussed. Weak transition matrix elements and masses of hadrons in HQEFT are well defined to display a manifest spin-flavor symmetry and 1/m(Q) corrections. A simple trace formulation approach is explicitly demonstrated by using LSZ reduction formula in HQEFT, and shown to be very useful for parametrizing the transition form factors via 1/m(Q) expansion. As the heavy quark and antiquark fields in HQEFT are treated on the same footing in a fully symmetric way, the quark-antiquark coupling terms naturally appear and play important roles for simplifying the structure of transition matrix elements, and for understanding the introduction of "dressed heavy quark"-hadron duality. In the case that the "longitudinal" and "transverse" residual momenta of heavy quark are at the same order of power counting, HQEFT provides a consistent approach for systematically analyzing heavy quark expansion in terms of 1/m(Q). Some interesting features in applications of HQEFT to heavy hadron systems are briefly outlined.
2006
ISSN0217-751X
Volume21Issue:28-29Pages:5743-5792
Subject AreaPhysics
Indexed BySCI
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/5854
Collection理论物理所科研产出_SCI论文
Corresponding AuthorWu, YL , Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Wu, Yue-Liang,Wu, YL , Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China. Large component QCD and theoretical framework of heavy quark effective field theory[J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A,2006,21(28-29):5743-5792.
APA Wu, Yue-Liang,&Wu, YL , Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China.(2006).Large component QCD and theoretical framework of heavy quark effective field theory.INTERNATIONAL JOURNAL OF MODERN PHYSICS A,21(28-29),5743-5792.
MLA Wu, Yue-Liang,et al."Large component QCD and theoretical framework of heavy quark effective field theory".INTERNATIONAL JOURNAL OF MODERN PHYSICS A 21.28-29(2006):5743-5792.
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