THE ENERGY BAND STRUCTURE OF THE θ-VACUUM

Wang Ming-zhong; Zheng Xi-te; Xian Ding-chang; Wang Ke-lin; Zhang Zheng-gang

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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(2) : 160-167

THE ENERGY BAND STRUCTURE OF THE θ-VACUUM

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Abstract：
We show that in dividing the Lagrangian of a pure Yang-Mills field system writ-ten in the winding number space into the "kinetic" and "potential" energy parts,the "potential" energy part corresponds to a periodic potential. Therefore, by an-alogy to the results of the solid state physics, the lowest energy state of the systemare shown to have the energy band structure. Comparison of such structure withthe θ-vacuum is made. The vacuum state established in this way is shown to satisfythe general requirements satisfied by the θ-vacuum.

References

[1]

A. Belavin et al., Phys. Lett., 59B(1.975), 85.[2] G. t'Hooft, Phys. Rev. Lett., 37(1976), 8.[3] C.Callan et al, Phys. Lett., 63B(1976), 334.[4] R. Jackiw and Rebbi, Phys. Rev. Lett., 37 (1976), 172.[5] C. Callan et al., Phys. Rev., D17(1978), 271;[6] Khalil et al., Phys. Rev., D17(1978), 486.[7] R, .Iackiw, Rev. of Mod. Phys., 49(1977), 681.[8] 王滋、刘耀阳、汪克林、鲍锡明,自然杂志,2(1979),471.[9] 谢希德、方俊鑫,“固体物理学”第八章.[10] M.Creutz and T.N.Tudron, Phys. Rev., D16(1977), 2978.

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Wang Ming-zhong, Zheng Xi-te, Xian Ding-chang, Wang Ke-lin and Zhang Zheng-gang. THE ENERGY BAND STRUCTURE OF THE θ-VACUUM[J]. Chinese Physics C, 1980, 4(2): 160-167.

Wang Ming-zhong, Zheng Xi-te, Xian Ding-chang, Wang Ke-lin and Zhang Zheng-gang. THE ENERGY BAND STRUCTURE OF THE θ-VACUUM[J]. Chinese Physics C, 1980, 4(2): 160-167. shu

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Received: 1978-12-20
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

THE ENERGY BAND STRUCTURE OF THE θ-VACUUM

Received Date: 1978-12-20
Accepted Date: 1900-01-01
Available Online: 1980-04-05

Abstract: We show that in dividing the Lagrangian of a pure Yang-Mills field system writ-ten in the winding number space into the "kinetic" and "potential" energy parts,the "potential" energy part corresponds to a periodic potential. Therefore, by an-alogy to the results of the solid state physics, the lowest energy state of the systemare shown to have the energy band structure. Comparison of such structure withthe θ-vacuum is made. The vacuum state established in this way is shown to satisfythe general requirements satisfied by the θ-vacuum.