Discussion on the Translational Invariance of the Quark and Mixed Condensates

  • The Taylor expansions of the quark and mixed condensates are presented Lorents gauge,which as well as the expansion of gluon condensate can be used to calculate the Wilson coefficients of the nonperturbative correction terms in the operator product expansion. In contrast to those current expansions in the sum rules in the fixed gauge,the new expansion has the advantage of being translational invariant.
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  • [1] M.A.Shifman,A.I.Vainshtein and V.I.Zakharov,Nucl.Phys,B147(197)385;448.[2]L.J.Reinder et al,Nucl.Phys,B196(1982)125;M.Shifman and T.M.Aliev,Phys.Lett,B112(1982)401;B.L.loffe,Nucl.Phys.B118(1981)317;B191(1981)591(E).Also see ref.(1).[3]C.A.Dominguez,phys.Lett,B197(1987)423.[4]B.L.loffe and A.V.Radyushkin.Phys.Lett.,B115(1982)410;Sov.J.,Nucl.Phys,39(1984)811;Ya.I,Kogan and V.M.Belyaev,Phys.Lett.,B136(1984)109.[5]V.L.ChernyakandA.R.Zhitnitsky,Nucl.Phys,B201(1982)492;B246(1984)52.[6]V.L.Chernyak and A.R.Zkitnitsks.Phys.Rep,112(1984)173.[7]K.G.Chetyrkin et al,Phys.Lett,B174(1986)104;R.Deckon,Nucl.Phys,B277(1986)661.[8]S.Narison,CERN-TH.4624/86.[9]卞建国,高能物理与核物理,15(1991)973.[10]Y.Chung,H.G.Dosch,M.Kremer and D.Schall,Z.Phys,C25(1984)151;B.L.loffe Nucl.Phys,B118(1981)317;B191(1981)591.
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Bian Jianguo. Discussion on the Translational Invariance of the Quark and Mixed Condensates[J]. Chinese Physics C, 1994, 18(6): 534-540.
Bian Jianguo. Discussion on the Translational Invariance of the Quark and Mixed Condensates[J]. Chinese Physics C, 1994, 18(6): 534-540. shu
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Received: 1900-01-01
Revised: 1900-01-01
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Discussion on the Translational Invariance of the Quark and Mixed Condensates

    Corresponding author: Bian Jianguo,
  • Institute of High Energy Physics.Acadamia Sinica.Beijing100039

Abstract: The Taylor expansions of the quark and mixed condensates are presented Lorents gauge,which as well as the expansion of gluon condensate can be used to calculate the Wilson coefficients of the nonperturbative correction terms in the operator product expansion. In contrast to those current expansions in the sum rules in the fixed gauge,the new expansion has the advantage of being translational invariant.

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