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

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

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2024年10月30日

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

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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

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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.

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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

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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

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 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.