Vacuum condensates of QCD

QIN Song-Mei; ZHOU Li-Juan; GU Yun-Ting; MA Wei-Xing

doi:10.1088/1674-1137/32/7/003

Chinese Physics C> 2008, Vol. 32> Issue(7) : 521-529 DOI: 10.1088/1674-1137/32/7/003

Vacuum condensates of QCD

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Abstract：
We study the properties of QCD vacuum state in this paper. The
values of various local quark vacuum condensates, quark-gluon mixed
vacuum condensates, and the structure of non-local quark vacuum
condensate are predicted by the solution of Dyson-Schwinger
Equations in ``rainbow" approximation with three sets of different
parameters for effective gluon propagator. The light quark
virtuality is also obtained in a consistent way. Our all theoretical
results here are in good agreement with the empirical values used
widely in literature and many other theoretical calculations.

References

[1]

. Lee T D, Trans N Y. Acad. Sci. (ser. 2), 1980, 40: 1112. David Griffiths. Introduction to Elementary Particles. New York: Harper and Row Pubilsher Inc., 1987. 360-3683. Quang Ho-Kin, Xuan- Yem Pham. Elementary Particlesand Their Interaction. Germany: Springer-Verlag BerlinHeidelberg, 1998. 389-4004. LI Bing-An. arXiv: hep-ph/ 9808441 V1, Aug. 1998. 1-155. Thomas A W, Weise W. Scale Invariance and the TraceAnomaly: The Structure of the Nucleon. Singapore: JohnWiley and Sons, 2000. 170-1726. ZHOU Li-Juan, MA Wei-Xing. Chinese Physics Letters,2004, 21: 1471; ZHOU Li-Juan, MA Wei-Xing. ChinesePhysics Lettes, 2003, 20: 2137; Dorokhov A E, RadyushkinA V. Physics of Particles and Nuclei, 2001, 32(Suppl.): 5547. ZHOU Li-Juan, PING Rong-Gang, MA Wei-Xing. Com-mun. Theor. Phys., 2004, 42: 875-8838. ZHOU Li-Juan, MA Wei-Xing. HEP NP, 2004, 29(8):757-760 (in Chinese)9. Wilson K G. Phys. Rev., 1969, 179: 1499; Wilson K G. OnProducts of Quantum Fields Operators at Short Distances(Cornell Report), Cornell. (sec. 4.1), 1964; Brandt R A.Ann. Phys., 1967, 44: 221; Hubschmid W, Mallik S. Nucl.Phys. B, 1982, 207: 29-4210. Dyson F J. Phys. Rev., 1949, 75: 1736; Schwinger L S.Proc. Nar. Acad. Sci., 1951, 37: 452; Roberts C D. Prog.Part. Nucl. Phys., 2000, 45: 51111. Greiner W, Reinhardt J. Quantum Electrodynamics.Springer: Verlag Harri Reutsch, 1994. 29712. Ward J. Phys. Rev., 1950, 78: 182; Takahashi Y. Nuovo Ci-mento, 1957, 6: 370; Marciano W, Pagels H. Phys. Repts.,1978, 36: 13713. Kisslinger L S. 2004 Review of Light Cone Field Theory.Arxiv: hep-ph/0401248, vl. 30 Jan., 200414. Frank M R, Meissner T. Phys. Rev. C, 1996, 53: 2410.arXiv: hep-ph/9511016 v2; Kisslinger L S, Meissner T.Phys. Rev. C, 1998, 57: 1528; Kisslinger L S, Harry MA, Lisuain D. Phys. Rev. C, 1999, 60: 065204-115. MAWei-Xing, ZHOU Li-Juan, GU Yun-Ting, PING Rong-Gang. Commun. Theor. Phys., 2005, 44: 333-336; Doi T,Ishii N, Oka M, Suganuma H. Nucl. Phys. A, 2003, 721:934c16. ZHU Hong-Yuan. Quantum Mechanism. Beijing: Scienti cpublisher, 1960. 190-20817. Radyushkin A V. Phys. Letts. B, 1991, 271: 218-222;ZHOU Li-Juan, MA Wei-Xing. Chinese Physics Letters,2004, 21: 1471; Thomas R, Hilger T, Kampfer B. arXiv:0704.3004 V2 [hep-ph]; Negele J, Orland H. Quanum Many Particle Systems. Addison-Wesley, 1988; WANG Zhi-Gang.Calculation of Some Properties of the Vacuum. arXiv:hep-ph/0204157 V218. Gell-mann M, Oakes R J, Renner B. Phys. Rev., 1968, 175:219519. Shiman M A, Vainshtein A Z, Zakharov V Z. Nucl. Phys.B, 1979, 147: 385; Io e B L. arXiv:hep-ph/0502148 V220. Jamin M, Oller J A, Pich A. Eur. Phys. J. C, 2002, 24:237; Jamin L M. HD-THEP-0201, hep-ph/0201174, 2002;Polykov M V, Weiss C. Phys. Lett. B, 1996, 387: 84121. Leutwyler H. Phys. Lett. B, 1996, 378: 31322. Bentez M A, Barnett R M, Caso C. Phys. Lett. B, 1990,239: 41223. Belyaev V M, Io e B L. Sov. Phys. JEPT, 1982, 56: 493;Cahill R T, Roberts C D. Phys. Rev. D, 1985, 32: 2419;Cahill R T. Nucl. Phys. A, 1992, 543: 63c; Tandy P C.Prog. Part. Nucl. Phys., 1997, 39: 11724. Novikov V A, Shiman M A, Vainshtein V I, Voloshin M B,Zakharov V I. Nucl. Phys. B, 1984, 237: 52525. Mikhailov S V, Radyushkin A V. Phys. Rev. D, 1992, 45:1754; Roberts C D, Williams A G. Prog. Part. Nucl. Phys.,1994, 33: 477; Roberts C D. Phys. Rev. D, 1994, 49: 12526. Dyson F J. Phys. Rev., 1949, 75: 1736; Proc. Nat. Acad.Sci, 1951, 37: 452

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QIN Song-Mei, ZHOU Li-Juan, GU Yun-Ting and MA Wei-Xing. Vacuum condensates of QCD[J]. Chinese Physics C, 2008, 32(7): 521-529. doi: 10.1088/1674-1137/32/7/003

QIN Song-Mei, ZHOU Li-Juan, GU Yun-Ting and MA Wei-Xing. Vacuum condensates of QCD[J]. Chinese Physics C, 2008, 32(7): 521-529. doi: 10.1088/1674-1137/32/7/003 shu

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Received: 2007-08-27
Revised: 2008-01-24

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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

Vacuum condensates of QCD

Corresponding author: MA Wei-Xing,

Received Date: 2007-08-27

Accepted Date: 2008-01-24

Available Online: 2008-07-05

Abstract:

We study the properties of QCD vacuum state in this paper. The
values of various local quark vacuum condensates, quark-gluon mixed
vacuum condensates, and the structure of non-local quark vacuum
condensate are predicted by the solution of Dyson-Schwinger
Equations in ``rainbow" approximation with three sets of different
parameters for effective gluon propagator. The light quark
virtuality is also obtained in a consistent way. Our all theoretical
results here are in good agreement with the empirical values used
widely in literature and many other theoretical calculations.

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Vacuum condensates of QCD

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