LATTICE FORMULATION OF THE PURE GAUGE FIELDS ON COSET SPACE

RUAN Tu-Nan; JING Si-Cong; LIU Zu-Wei

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1983, Vol. 7> Issue(5) : 550-559

LATTICE FORMULATION OF THE PURE GAUGE FIELDS ON COSET SPACE

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Abstract：
In this paper we construct a lattice formulation of the pure gauge fields on a coset space in the cases of a group G with non-trivial topological property and of a chiral group G, and present a local gauge invariant action of a quark system on a four-dimensional Euclidean space lattice, which has the continuum limit as usual. For non-chiral group with trivial topological property, it is shown that the coset pure gauge fields have no influence on the confinement properties of the confinement properties of the quark system by calculating lattice current-current propagator when the coset pure gauge fields remain manifest.

References

[1]	周光召、杜东生、阮图南, Scientia Sinica, 22(1979), 37.[2] 周光召, Scientia Sinica, 23(1980), 431[3] Zhou Guang-Zhao, Ruan Tu-nan, Journal of CUST, 11(1981), 15, Proceedings of the 1980 Guangzhou Conference on Theoretical Particle Physics, p. 902.[4] K .G. Wilson, Phys. Rev., D10(1974), 2445.

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[3]	Wang Shunjin , Guo Hua . Constrained Correlation Dynamics of SU(N) Gauge Theories in Canonical form (Ⅰ) Equations of Motion for Correlation Green's Functions. Chinese Physics C, 1995, 19(3): 270-277.
[4]	Wang Shunjin , Guo Hua . Constrained Correlation Dynamics of SU(N) Gauge Theories in Canonical Form (Ⅱ) Gauge Constrained Conditions. Chinese Physics C, 1995, 19(4): 332-339.
[5]	Chen Qizhou , Fang Xiyan , Guo Shouhong . Calculation of Vacuum State for 2+1-Dimensional SU(3) Lattice Gauge Theory. Chinese Physics C, 1995, 19(5): 398-404.
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[7]	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.
[8]	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.
[9]	ZHANG Guang-Yuan , CAI Wei-Cheng , LI Xin-Zhou . FERMION FIELDS IN THE SOLITON BACKGROUND OF SIX-DIMENSIONAL PURE KALUZA-KLEIN THEORIES. Chinese Physics C, 1988, 12(2): 281-285.
[10]	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.
[11]	HE Xiang-Hao , Xian Ding-Chang . VARIATIONAL ANALYSIS OF THE PHASE STRUCTURE OF THE SU(3) LATTICE GAUGE THEORY WITH A MIXED FUNDAMENTAL-ADJOINT ACTION. Chinese Physics C, 1985, 9(1): 120-124.
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[13]	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.
[14]	RUAN Tu-Nan , LIU Zu-Wei , JING Si-Cong . CONFINEMENT PROPERTIES OF THE PURE GAUGE FIELDS ON COSET SPACE OF A NON-ABELIAN CHIRAL GROUP. Chinese Physics C, 1984, 8(2): 158-166.
[15]	LIU YAO-YANG . CRAVITATION AND SPINOR GAUGE FIELD. Chinese Physics C, 1982, 6(3): 306-316.
[16]	LIU YAO-YANG . A METHOD ON DERIVATION OF GAUGE FIELDS. Chinese Physics C, 1982, 6(1): 17-24.
[17]	ZHAO BAO-HENG , YAN MU-LIN . CANONICAL QUANTIZATION OF GAUGE FIELDS(Ⅱ)——SPONTANEOUSLY BROKEN GAUGE FIELDS. Chinese Physics C, 1979, 3(1): 52-59.
[18]	GU CHAO-HAO . THE LOOP PHASE-FACTOR APPROACH TO GAUGE FIELDS. Chinese Physics C, 1978, 2(2): 97-108.
[19]	YUAN TU-NAN , TU TUNG-SHENG . STRONG INTERACTION AND CHIRAL GAUGE FIELD. Chinese Physics C, 1978, 2(6): 481-487.
[20]	ZHAO BAO-HENG , YAN MU-LIN . CANONICAL QUANTIZATION OF GAUGE FIELDS (I)——THE YANG-MILLS FIELD. Chinese Physics C, 1978, 2(6): 501-510.

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RUAN Tu-Nan, JING Si-Cong and LIU Zu-Wei. LATTICE FORMULATION OF THE PURE GAUGE FIELDS ON COSET SPACE[J]. Chinese Physics C, 1983, 7(5): 550-559.

RUAN Tu-Nan, JING Si-Cong and LIU Zu-Wei. LATTICE FORMULATION OF THE PURE GAUGE FIELDS ON COSET SPACE[J]. Chinese Physics C, 1983, 7(5): 550-559. shu

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Received: 1900-01-01
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

LATTICE FORMULATION OF THE PURE GAUGE FIELDS ON COSET SPACE

Corresponding author: RUAN Tu-Nan,

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1983-10-05

Abstract: In this paper we construct a lattice formulation of the pure gauge fields on a coset space in the cases of a group G with non-trivial topological property and of a chiral group G, and present a local gauge invariant action of a quark system on a four-dimensional Euclidean space lattice, which has the continuum limit as usual. For non-chiral group with trivial topological property, it is shown that the coset pure gauge fields have no influence on the confinement properties of the confinement properties of the quark system by calculating lattice current-current propagator when the coset pure gauge fields remain manifest.