Discussion on the Translational Invariance of the Quark and Mixed Condensates

Bian Jianguo

Chinese Physics C> 1994, Vol. 18> Issue(6) : 534-540

Discussion on the Translational Invariance of the Quark and Mixed Condensates

Bian Jianguo ^,

Institute of High Energy Physics.Acadamia Sinica.Beijing100039

Abstract
HTML
Reference
Related

PDF

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.

References

[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.

[1]	JIANG Jun-Qin . Quark Condensate in Two-Dimensional SU(N_C) Lattice Gauge Theory with Massive Wilson Quarks. Chinese Physics C, 2007, 31(1): 19-22.
[2]	DING Wen-Bo , LIU Guang-Zhou . Condensations of K^－ and K⁰ in Neutron Star Matter. Chinese Physics C, 2006, 30(S2): 249-251.
[3]	ZHOU Li-Juan , MA Wei-Xing . Quark-Gluon Mixed Vacuum Condensates in Dyson-Schwinger Equations. Chinese Physics C, 2005, 29(8): 757-760.
[4]	LI Xi-Guo , JIA Duo-Jie , GAO Yuan . Decomposition of the SU(2) Gauge Field and Circulation Condition of the Bose-Einstein Condensate. Chinese Physics C, 2003, 27(1): 12-14.
[5]	ZHANG De-Xing . The Relation between the Quantum Correlation of the Quantum Condensate Object and the Differential Scattering Cross Section. Chinese Physics C, 2003, 27(5): 391-394.
[6]	GUO Hua , LIU Bo , LI Xi-Guo , CHEN Yan-Jun . Kaon Condensation in Neutron Star Matter. Chinese Physics C, 2003, 27(2): 113-117.
[7]	Medina Ablikim , HUANG Wei-Cheng , . New Realization of N=2 Supersymmetric QuantumMechanics and Shape Invariance. Chinese Physics C, 2002, 26(4): 338-345.
[8]	Wang Deyun , Huang Bowen . Solve for Energy Spectrum and Function of Ring-Shaped Oscillator by Using Supersymmetry and Shape Invariance. Chinese Physics C, 1999, 23(11): 1078-1082.
[9]	Guo Hua . In-medium QMC Model Parameters and Quark Condensation in Nuclear Matter. Chinese Physics C, 1999, 23(5): 459-468.
[10]	Jiang Junqin . The Calculation of the Fermion Condensates by Using the Improved Hamiltonian. Chinese Physics C, 1998, 22(10): 891-895.
[11]	LUO Xiang-Qian , CHEN Qi-Zhou . Fermion Condensates in Lower Dimensional Gauge Theories. Chinese Physics C, 1992, 16(8): 685-695.
[12]	BIAN Jian-Guo , HUANG Tao . Correction to Goldstein Equation from the Gluon Condensate Diagram. Chinese Physics C, 1992, 16(6): 510-517.
[13]	BI Pin-Zhen . KAONS CONDENSATION AT FINITE TEMPEATURE. Chinese Physics C, 1989, 13(3): 219-221.
[14]	WU Ji-Min , ZHAO Pei-Ying . ANALYTIC CALCULATION FOR GLUON CONDENSATION IN SU (2) LATTICE GAUGE THEORY. Chinese Physics C, 1987, 11(1): 64-67.
[15]	GU Jin-Nan . THE R(π/2) INVARIANCE OF NUCLEI. Chinese Physics C, 1986, 10(2): 223-230.
[16]	HUANG Tao , XIE Yi-Cheng . A PHYSICAL CONSEQUENCE OF THE GAUGE INVARIANCE IN THE PROCESS π⁰→γγ. Chinese Physics C, 1985, 9(4): 437-441.
[17]	ZHOU Guang-Zhao , GUO Han-Ying , WU Ke , SONG Xing-Chang . ON THE GAUGE INVARIANCE OF WESS-ZUMINO-WITTEN EFFECTIVE ACTION. Chinese Physics C, 1984, 8(2): 252-256.
[18]	ZHANG QI-REN . PARTIAL RESTORATION OF THE CHIRAL SYMMETRY AND THE π CONDENSATION IN NUCLEAR MATTER. Chinese Physics C, 1981, 5(3): 314-320.
[19]	ZHANG QI-REN . RELATIVISTIC SEMICLASSICAL THEORY OF CONDENSATION (Ⅰ). Chinese Physics C, 1981, 5(1): 15-28.
[20]	Wang Ying-cai , Li Guang-lie , Zhang Zong-ye . THE π CONDENSATION EFFECTS IN FINITE NUCLEI. Chinese Physics C, 1980, 4(1): 63-72.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(3673)
PDF Downloads(509)
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

Discussion on the Translational Invariance of the Quark and Mixed Condensates

Bian Jianguo ^,

Corresponding author: Bian Jianguo,

Institute of High Energy Physics.Acadamia Sinica.Beijing100039

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1994-06-05

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.