THE HEAVY QUARK PQTENTIAL TO TWO-LOOP ORDER

ZHOU BANG-RONG

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2024年10月30日

Chinese Physics C> 1982, Vol. 6> Issue(4) : 421-427

THE HEAVY QUARK PQTENTIAL TO TWO-LOOP ORDER

ZHOU BANG-RONG

University of Science and Technology of China

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Abstract：
We have derived a modified expression for the QCD effective coupling constant totwo-loop order It amounts to adding the terms of higher order than Int/t which areindependent of the renormalization scheme to the usual expression. On the basis of theresult we proposed a in momentum and coordinate representation respectively, singleheavy quark potential which has the properties of both asymptotic freedom and as-sumed linear confinement, and obtained the slope of the linear potential at large dis-tances k=4π∧²/(33--2N_f). We bound that it is possible to determine the potential bymeans of the single parameter ∧ if the quark flavor number N_f is specified in abvance.

References

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E. Eichten et al., Phys. Rev. Lett., 34(1975),369; Phys. Rev., D17(1918), 3090; D21(1980), 203.[2] C.Qnigg and J. L. Roener, Phys. Lett,71B(1977), 153.[3] W. Celmaeter, H. Georgi and M. Machacek, Phys. Rev., .D17(1978),879[4] 周邦融,高能物理与核物理,4(1980), 93.[5] J. L. Richardeon, Phys. Lett., 82B(1979), 272; W. Buchmaller, G. Gfrunberg and S. H. H. Tye. Phys. Rev. Lett.,45(1980), 103.[6] D. J. Gross and F.Wilezek, Phys. Rev. Lett.,30(1973), 1343; H. D. Politzer, Phys. Rev. Lett.,30(1973), 1346.[7] D. J. Gross and F. Wilezek. Phys. Rev. D8(1973). 3633.[8] W.Caewell, Phys. Rev. Lett, 33(1974), 244.[9] D. J. Groas. "Application of the Renormalization Group ", edited in "Methods in Field Theory (Session 28 of Les Houches 1975)".[10] J. D. Jackson,SLAC-198(1976),[11] A. De Rújula, H. Georgi and H. D. Politzer; Ann. Phys., (N. Y.) 103(1977), 315; E. C. Poggio, H. R. Quinn and S. Weinberg, Phys.Rev., D13(1976), 1958; R. Shankar, ibid, 15(1977), 755; R. G. Mborhouee, M. R. Pennington and G. G. Roee, Nucl. Phys., B124(1977),285; W. Marciano and H. Pagels, Phys. Rep., 36C(1978), 139.

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ZHOU BANG-RONG. THE HEAVY QUARK PQTENTIAL TO TWO-LOOP ORDER[J]. Chinese Physics C, 1982, 6(4): 421-427.

ZHOU BANG-RONG. THE HEAVY QUARK PQTENTIAL TO TWO-LOOP ORDER[J]. Chinese Physics C, 1982, 6(4): 421-427. shu

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Received: 1981-01-07
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

THE HEAVY QUARK PQTENTIAL TO TWO-LOOP ORDER

ZHOU BANG-RONG

University of Science and Technology of China

Received Date: 1981-01-07
Accepted Date: 1900-01-01
Available Online: 1982-08-05

Abstract: We have derived a modified expression for the QCD effective coupling constant totwo-loop order It amounts to adding the terms of higher order than Int/t which areindependent of the renormalization scheme to the usual expression. On the basis of theresult we proposed a in momentum and coordinate representation respectively, singleheavy quark potential which has the properties of both asymptotic freedom and as-sumed linear confinement, and obtained the slope of the linear potential at large dis-tances k=4π∧²/(33--2N_f). We bound that it is possible to determine the potential bymeans of the single parameter ∧ if the quark flavor number N_f is specified in abvance.