Canonical Ward Identities in Generalized QCD

Li Ziping

Chinese Physics C> 1995, Vol. 19> Issue(5) : 405-412

Canonical Ward Identities in Generalized QCD

Li Ziping ^,

Department of Applied Physics, Beijing Polytechnic University, Beijing 100022

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Abstract：
The canonical Ward identities for a system with singular higher-order Lagrangian are derived and some application to the gelleralized QCD are given. The new relations of the Ward identities for gauge ghost field proper venices are obtained which differ from the usual Ward-Takahashi identities arising from BRS invariance. The expressions for PCAC and generalized PCAC of AVV venices are also obtained.

References

[1]

SaitoY,SuganoR.andohtaT,J.Math.Phys,30（1989）1122.[2]LiZ.P.andXieY.C.Commun.Theor.Phys.21（1994）247.[3]LiZ.P,J.Phys,A:Math.Gen.24（1991）4261.[4]BakerM,CarsonL,BallJ.S.and Zachariasen F.,Nucl.Phys,B22（1983）456.[5]李子平，高能物理与核物理，18（1994）697.[6]SuuraH.and Young B.L,Phys.Rev,DS（1973）4333.[7]李子平，中国科学，A辑，（9）（1992）977.[8]GitmanD.M,TyutinI.V,Quantization of Fieldswith Constraints,Springer-Verlag,Berlin,1990.[9]LiZ.P,Int.J.Theor.Phys.32（1993）201.[10]YoungB-L,Introduction to Quantum Field Theories,Science Press,Beijing,1987.

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Li Ziping. Canonical Ward Identities in Generalized QCD[J]. Chinese Physics C, 1995, 19(5): 405-412.

Li Ziping. Canonical Ward Identities in Generalized QCD[J]. Chinese Physics C, 1995, 19(5): 405-412. shu

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Received: 1900-01-01
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Canonical Ward Identities in Generalized QCD

Li Ziping ^,

Corresponding author: Li Ziping,

Department of Applied Physics, Beijing Polytechnic University, Beijing 100022

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1995-05-05

Abstract: The canonical Ward identities for a system with singular higher-order Lagrangian are derived and some application to the gelleralized QCD are given. The new relations of the Ward identities for gauge ghost field proper venices are obtained which differ from the usual Ward-Takahashi identities arising from BRS invariance. The expressions for PCAC and generalized PCAC of AVV venices are also obtained.