CONFINEMENT PROPERTIES OF THE PURE GAUGE FIELDS ON COSET SPACE OF AN ABELIAN CHIRAL GROUP

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

Chinese Physics C> 1984, Vol. 8> Issue(1) : 25-33

CONFINEMENT PROPERTIES OF THE PURE GAUGE FIELDS ON COSET SPACE OF AN ABELIAN CHIRAL GROUP

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Abstract：
In this paper the lattice current-current propagator is calculated and the influence of coset pure gauge fields of an Abelian chiral group G=U₁×U⁵ on confinement properties of a quark system is discussed by virtue of the Wilson's criterion of lattice gauge theory. When subgroup H is U₁, the coset pure gauge fields only contribute a perimeter law factor to the current-current propagator which has no influence on confinement properties of the system. When subgroup H is U⁵, the coset pure gauge fields also have no influence on confinement properties of the system.

References

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周光召、杜东生、阮图南，Scientia Sinica, 22 (1979), 37.[2] K.G. Wilson, Phys. rev., D10 (1974), 2445.[3] T. Banks, R. Myerson, J. Kogut, Nucl Phys., B129 (1977), 493[4] J. Kogut, L. Susskind, Phys. Rev., Dll (1975), 395[5] S. D. Drall, et al., Phys. Rev., D19 (1979), 619.[6] 阮图南、井思聪、刘祖伟,高能物理与核物理,7(1983), 550.[7] J. Kogut, Bev. Mod. Phys., 51 (1979), 659.

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RUAN Tu-Nan, JING Si-Cong and LIU Zu-Wei. CONFINEMENT PROPERTIES OF THE PURE GAUGE FIELDS ON COSET SPACE OF AN ABELIAN CHIRAL GROUP[J]. Chinese Physics C, 1984, 8(1): 25-33.

RUAN Tu-Nan, JING Si-Cong and LIU Zu-Wei. CONFINEMENT PROPERTIES OF THE PURE GAUGE FIELDS ON COSET SPACE OF AN ABELIAN CHIRAL GROUP[J]. Chinese Physics C, 1984, 8(1): 25-33. shu

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Received: 1982-10-04
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 AN ABELIAN CHIRAL GROUP

Corresponding author: RUAN Tu-Nan,

Received Date: 1982-10-04
Accepted Date: 1900-01-01
Available Online: 1984-02-05

Abstract: In this paper the lattice current-current propagator is calculated and the influence of coset pure gauge fields of an Abelian chiral group G=U₁×U⁵ on confinement properties of a quark system is discussed by virtue of the Wilson's criterion of lattice gauge theory. When subgroup H is U₁, the coset pure gauge fields only contribute a perimeter law factor to the current-current propagator which has no influence on confinement properties of the system. When subgroup H is U⁵, the coset pure gauge fields also have no influence on confinement properties of the system.