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

Abstract
HTML
Reference
Related

PDF

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

[1]	Jin-Jun Zhang , Chung-Chi Lee , Chao-Qiang Geng . Observational constraints on running vacuum model. Chinese Physics C, 2019, 43(2): 025102. doi: 10.1088/1674-1137/43/2/025102
[2]	Yujiang Bi , Hao Cai , Ying Chen , Ming Gong , Zhaofeng Liu , Hao-Xue Qiao , Yi-Bo Yang . Diquark mass differences from unquenched lattice QCD. Chinese Physics C, 2016, 40(7): 073106. doi: 10.1088/1674-1137/40/7/073106
[3]	Jue Zhang , Shun Zhou . Electroweak vacuum stability and diphoton excess at 750 GeV. Chinese Physics C, 2016, 40(8): 081001. doi: 10.1088/1674-1137/40/8/081001
[4]	Ling-Xiao Cui , Zhen Fang , Yue-Liang Wu . Finite temperature effect in infrared-improved AdS/QCD model with back reaction of bulk vacuum. Chinese Physics C, 2016, 40(6): 063101. doi: 10.1088/1674-1137/40/6/063101
[5]	WENG Ming-Hua , GUO Xin-Heng , LIU Bo . Vacuum fluctuation effects on hyperonic neutron star matter. Chinese Physics C, 2013, 37(12): 125101. doi: 10.1088/1674-1137/37/12/125101
[6]	XU Shou-Yan , WANG Sheng . Study of eddy current power loss in an RCS vacuum chamber. Chinese Physics C, 2012, 36(2): 160-166. doi: 10.1088/1674-1137/36/2/011
[7]	KE Zun-Jian , LI Jia-Cai , ZHANG Shao-Ping , AN Guang-Peng , TANG Xing-Hua , YANG Tao . A plastic scintillating fiber position detector in vacuum for the test beam facility at BEPCⅡ-LINAC. Chinese Physics C, 2012, 36(1): 67-70. doi: 10.1088/1674-1137/36/1/011
[8]	LU Juan , CAI Xian-Hao , ZHOU Li-Juan . Vector meson electroproduction in QCD. Chinese Physics C, 2012, 36(8): 697-702. doi: 10.1088/1674-1137/36/8/003
[9]	JIN Dan , YANG Ya-Dong . Radiative decays J/ψ → η^(')γ in perturbative QCD. Chinese Physics C, 2011, 35(8): 703-707. doi: 10.1088/1674-1137/35/8/001
[10]	SHI Feng , LU Hong , WANG Huan-Yu , MA Yu-Qian , HU Tao , ZHOU Li , CAI Xiao , SUN Li-Jun , YU Bo-Xiang , FANG Jian , XIE Yu-Guang , AN Zheng-Hua , WANG Zhi-Gang , GAO Min , LI Xin-Qiao , XU Yan-Bing , WANG Ping , SUN Xi-Lei , ZHANG Ai-Wu , XUE Zhen , LIU Hong-Bang , WANG Xiao-Dong , ZHAO Xiao-Yun , ZHENG Yang-Heng , MENG Xiang-Cheng , WANG Hui , . Comparative studies of silicon photomultipliers and traditional vacuum photomultiplier tubes. Chinese Physics C, 2011, 35(1): 50-55. doi: 10.1088/1674-1137/35/1/011
[11]	S. Aoki (for HAL QCD collaboration) . Baryon-Baryon interactions from lattice QCD. Chinese Physics C, 2010, 34(9): 1236-1240. doi: 10.1088/1674-1137/34/9/016
[12]	XU Xiao-Mei , FU Yong-Ping , LI Yun-De . η string formation in QCD chiral phase transition. Chinese Physics C, 2010, 34(4): 444-447. doi: 10.1088/1674-1137/34/4/004
[13]	Michel Davier . New results on the hadronic vacuum polarization contribution to the muon g－2. Chinese Physics C, 2010, 34(6): 718-727. doi: 10.1088/1674-1137/34/6/018
[14]	C. Alexandrou . Baryon structure from Lattice QCD. Chinese Physics C, 2009, 33(12): 1093-1101. doi: 10.1088/1674-1137/33/12/008
[15]	ZHOU Li-Juan , MA Wei-Xing . Quark-Gluon Mixed Vacuum Condensates in Dyson-Schwinger Equations. Chinese Physics C, 2005, 29(8): 757-760.
[16]	LI Jie-Ming , JIANG Jun-Qin . Calculation of the Vacuum Wave Function for (2+1) Dimensional Lattice QCD. Chinese Physics C, 2001, 25(7): 617-620.
[17]	Chen Qizhou , Fang Xiyan , Guo Shouhong . Calculation of Vacuum State for 2+1-Dimensional SU(3) Lattice Gauge Theory. Chinese Physics C, 1995, 19(S3): 265-272.
[18]	Gao Xiaochun , Qian Tiezheng . The Removability of the Topological Term in the CP¹ model and ϑ-Vacuum. Chinese Physics C, 1993, 17(S4): 355-360.
[19]	HE Zejun , ZHANG Jiaju , CHEN Junfeng , QIU Xijun . Effects of the Internal Excitation of the Hadron and QCD Vacuum on the Thermodynamic Behavior of Nuclear Matter. Chinese Physics C, 1993, 17(12): 1126-1128.
[20]	DAI Yu-Xin , QIU Zhong-Ping . Non-Pertubative Correction to R=σ_L/σ_T Due to the Effect of the QCD Vacuum Condensates. Chinese Physics C, 1991, 15(3): 207-212.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(4204)
PDF Downloads(613)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
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.

HTML

Reference (1)

Vacuum condensates of QCD

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article