Chinese Physics C > 1984, Vol. 8 > Issue(2): 158-166

CONFINEMENT PROPERTIES OF THE PURE GAUGE FIELDS ON COSET SPACE OF A NON-ABELIAN CHIRAL GROUP

Abstract
HTML
Reference
Related

PDF

Abstract：
The influence of coset pure gauge fields of a non-abelian chiral group on confinement properties of a quark system is discussed in lattice gauge theories. By calculating the current-current propagator of the model G/ H= SU(2) _L× SU(2) _R/ SU(2), it is found that the pure gauge fields on coset space contribute only a perimeter law factor which has no influence on confinement properties of the system.

References

[1]

周光召、杜东生、阮图南, 中国科学, 22(1979),142;周光召, 中国科学, 23(1980), 19; Zhou Guang-zhao, Ruan Tu-nan, Proceedings of the 1980 Guangzhou Conference on Theoretical Particle Physics, P. 902.[2] H. Wilson, Phys. Rev., D10(1974), 2445.[3] 阮图南、井思聪、刘祖伟, 《陪集纯规范场的点阵形式》(待发表), 《阿贝尔手征陪集纯规范场的禁闭性质》, (本期).[4] M. Greutz, J. Math. Phys., 19(1978), 2043.[5] J. Kogut, Rev. Mod. Phys., 51(1979), 659.[6] L. Kadanoff, Rev. Mod. Phys., 49(1977), 267.

[1]	SONG Hong-Qiu,ZHANG Li-Liang,SU Ru-Keng,WANG Ping. Strange Hadronic Matter in A Chiral Model. Chinese Physics C, 2000, 24(S1): 95-99.
[2]	Wang Xin,Li Jiarong. Two-Loop Thermodyn amic Potential of Pure Gauge Fields in QGP. Chinese Physics C, 1998, 22(7): 614-625.
[3]	Huang Mei,Zhung Pengfei. Chiral Singularity in Hadronization. Chinese Physics C, 1998, 22(8): 690-698.
[4]	XU Xiao-Ming,QIU Xi-Jun. Deuteron Properties in the Chiral Quark-Soliton Model. Chinese Physics C, 1993, 17(1): 65-68.
[5]	QIU Rong. The Identity and Renormalization of Pure Gauge Fields in Coset Space of Abelian Chiral Group. Chinese Physics C, 1993, 17(3): 227-240.
[6]	XU Xiao-Ming,QIU Xi-Jun. A Chiral Quark-Confinement Soliton Model for one nucleon and two Nucleons. Chinese Physics C, 1992, 16(6): 527-533.
[7]	QIU Rong. Constraint on the Parameter of Group By Two Order Transformation of Field Variable Being Equal to Zero in Non-Abelian. Chinese Physics C, 1991, 15(2): 111-116.
[8]	SUN Chang-Pu. HIGH-ORDER ADIABATIC APPROXIMATIONS FOR EVOLUTION OF DEGENERATE QUANTUM MECHANICAL SYSTEM AND NON-ABELIAN INDUCED GAUGE STRUCTURE. Chinese Physics C, 1990, 14(7): 604-613.
[9]	JING Si-Cong,RUAN Jie. BJORKEN-JOHNSON-LOW TECHNIQUE AND PERTURBATION STUDY ON CHIRAL ANOMALY IN ABELIAN COSET PURE GAUGE FIELD THEORY. Chinese Physics C, 1990, 14(11): 991-1000.
[10]	QIU Rong. THE EQUIVALENCE OF TWO TRANSFORMATIONS OF THE INVARIANCE OF LAGRANGIAN FUNCTION IN NON-ABELIAN GAUGE FIELD. Chinese Physics C, 1989, 13(4): 302-308.
[11]	LIU Bao-Hua,LI Jia-Rong. MEAN-FIELD THEORY AND RESTORATION OF CHIRAL SYMMETRY. Chinese Physics C, 1988, 12(6): 848-851.
[12]	JING Si-Cong,RUAN Tu-Nan. ON THE QUANTIZATION OF PURE GAUGE FIELDS ON COSET SPACE OF ABELIAN CHIRAL GROUP. Chinese Physics C, 1988, 12(6): 773-781.
[13]	HE Xiang-Hao,Xian Ding-Chang. VARIATIONAL ANALYSIS OF THE PHASE STRUCTURE OF THESU(3) LATTICE GAUGE THEORY WITH A MIXED FUNDAMENTAL-ADJOINT ACTION. Chinese Physics C, 1985, 9(1): 120-124.
[14]	RUAN Tu-Nan,JING Si-Cong,LIU Zu-Wei. CONFINEMENT PROPERTIES OF THE PURE GAUGE FIELDS ON COSET SPACE OF AN ABELIAN CHIRAL GROUP. Chinese Physics C, 1984, 8(1): 25-33.
[15]	HOU Bo-Yu,SHI Kang-Jie,WANG Yu-Bin,HOU Bo-Yuan,WANG Pei. THE NON-SELFDUAL SOLUTIONS OF CP(n) CHIRAL THEORY AND CORRESPONDING GAUGE FIELDS. Chinese Physics C, 1983, 7(2): 150-159.
[16]	RUAN Tu-Nan,JING Si-Cong,LIU Zu-Wei. LATTICE FORMULATION OF THE PURE GAUGE FIELDS ON COSET SPACE. Chinese Physics C, 1983, 7(5): 550-559.
[17]	Lee Hua-chung,Kuo Shuo-hung,Hsien Ting-chang. ON THE PROBLEM OF THE DUAL CHARGE (MAGNETIC MONOPOLE) OF NON-ABELLAN GROUPS (Ⅱ). Chinese Physics C, 1978, 2(1): 23-34.
[18]	ZHAO BAO-HENG,YAN MU-LIN. CANONICAL QUANTIZATION OF GAUGE FIELDS (I)——THE YANG-MILLS FIELD. Chinese Physics C, 1978, 2(6): 501-510.
[19]	TUAN I-SHIH,KEH MO-LIN. GEOMETRICAL DESCRIPTION OF DECOMPOSIBILITY OF A NON-ABELIAN GAUGE POTENTIAL. Chinese Physics C, 1978, 2(6): 511-514.
[20]	YUAN TU-NAN,TU TUNG-SHENG. STRONG INTERACTION AND CHIRAL GAUGE FIELD. Chinese Physics C, 1978, 2(6): 481-487.

Access

Get Citation

RUAN Tu-Nan, LIU Zu-Wei and JING Si-Cong. CONFINEMENT PROPERTIES OF THE PURE GAUGE FIELDS ON COSET SPACE OF A NON-ABELIAN CHIRAL GROUP[J]. Chinese Physics C, 1984, 8(2): 158-166.

RUAN Tu-Nan, LIU Zu-Wei and JING Si-Cong. CONFINEMENT PROPERTIES OF THE PURE GAUGE FIELDS ON COSET SPACE OF A NON-ABELIAN CHIRAL GROUP[J]. Chinese Physics C, 1984, 8(2): 158-166. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(3829)
PDF Downloads(461)
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

CONFINEMENT PROPERTIES OF THE PURE GAUGE FIELDS ON COSET SPACE OF A NON-ABELIAN CHIRAL GROUP

Corresponding author:RUAN Tu-Nan,

Received Date:1900-01-01
Accepted Date:1900-01-01
Available Online:1984-04-05

Abstract:The influence of coset pure gauge fields of a non-abelian chiral group on confinement properties of a quark system is discussed in lattice gauge theories. By calculating the current-current propagator of the modelG/H=SU(2)_L×SU(2)_R/SU(2), it is found that the pure gauge fields on coset space contribute only a perimeter law factor which has no influence on confinement properties of the system.