WINDING NUMBER AND GAUGE CONDITION

Liu Yao-yang; Wang Ke-lin; Bao Xi-ming

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1980, Vol. 4> Issue(5) : 563-568

WINDING NUMBER AND GAUGE CONDITION

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Abstract：
The winding number is calculated from the instanton solution under differentgauge conditions. It is observed that, though the boundary condition is definite, thevalue of the winding number still depends on the way of approaching infinity. InLandau gauge, it leads to winding number of half integral value by the limiting waywith clear Physical meaning. Particularly in temporal gauge and the result is irre-levant with the limiting way.

References

[1]	S. Sciuto, Phys. Rep., 49 (1979), 181.[2] G. t'Hooft, Phys. Bero., D14 (1976), 3432.[3] R. Jackiw and C. Bsbbi, Phys. Rev., D14 (1976), 517.[4] S. 8ciuto, Phya. Lett., 71B(1977), 129.[5] Wadia and Yoneya, Phys. Lett.,66B(1977), 341.

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Liu Yao-yang, Wang Ke-lin and Bao Xi-ming. WINDING NUMBER AND GAUGE CONDITION[J]. Chinese Physics C, 1980, 4(5): 563-568.

Liu Yao-yang, Wang Ke-lin and Bao Xi-ming. WINDING NUMBER AND GAUGE CONDITION[J]. Chinese Physics C, 1980, 4(5): 563-568. shu

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Received: 1979-05-10
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

WINDING NUMBER AND GAUGE CONDITION

Received Date: 1979-05-10
Accepted Date: 1900-01-01
Available Online: 1980-10-05

Abstract: The winding number is calculated from the instanton solution under differentgauge conditions. It is observed that, though the boundary condition is definite, thevalue of the winding number still depends on the way of approaching infinity. InLandau gauge, it leads to winding number of half integral value by the limiting waywith clear Physical meaning. Particularly in temporal gauge and the result is irre-levant with the limiting way.