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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[15]	LIU YAO-YANG. CRAVITATION AND SPINOR GAUGE FIELD. Chinese Physics C, 1982, 6(3): 306-316.
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[17]	GU CHAO-HAO. THEU₁GAUGE FIELD IN ASU_NGAUGE FIELD AND THE QUANTIZED VALUES OF DUAL CHARGES. Chinese Physics C, 1978, 2(4): 295-304.
[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.