τVACUUM

Du Dong-sheng; Fan Hong-yi; Yin Hong-jun; Ruan Tu-nan

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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(4) : 459-465

τVACUUM

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Abstract：
At the time of discussing the stationary soliton solutions of a real spin-less field inone spatial dimension, we notice that there exists another kind of strict solutions inscalar field theory. The field's total energy, momentum and angular momentum forit all vanish, hence it means vacuum which, being named as "τ vacuum", representsthe zero-point vibration. Moreover if the cononical momentum's being zero π=0 or φ's being real is demanded, then the τvacuum automatically gives the ordinaryvacuum solutions which indicate that the symmetries are spontaneously broken. Inthis article, the first-order quantum-like correction for the φ⁴theory, Sine-Gordantheory and the L rank potntial are discussed respectively. Although this kind ofvacuum solutions is an imaginary one, it is important for studying the vacuum'smechanism, for upon transforming it into the Euclidean space, it belomes the ordinarysoliton solution.
References

[1] R. Jackiw, Rev. Mod. Phys,49(1977), 681,[2] B. W. Lee, Phys. Rep.,9C(1973), No. 1.

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Du Dong-sheng, Fan Hong-yi, Yin Hong-jun and Ruan Tu-nan. τVACUUM[J]. Chinese Physics C, 1980, 4(4): 459-465.

Du Dong-sheng, Fan Hong-yi, Yin Hong-jun and Ruan Tu-nan. τVACUUM[J]. Chinese Physics C, 1980, 4(4): 459-465. shu

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Received: 1979-06-01
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

τVACUUM

Received Date: 1979-06-01
Accepted Date: 1900-01-01
Available Online: 1980-08-05

Abstract: At the time of discussing the stationary soliton solutions of a real spin-less field inone spatial dimension, we notice that there exists another kind of strict solutions inscalar field theory. The field's total energy, momentum and angular momentum forit all vanish, hence it means vacuum which, being named as "τ vacuum", representsthe zero-point vibration. Moreover if the cononical momentum's being zero π=0 or φ's being real is demanded, then the τvacuum automatically gives the ordinaryvacuum solutions which indicate that the symmetries are spontaneously broken. Inthis article, the first-order quantum-like correction for the φ⁴theory, Sine-Gordantheory and the L rank potntial are discussed respectively. Although this kind ofvacuum solutions is an imaginary one, it is important for studying the vacuum'smechanism, for upon transforming it into the Euclidean space, it belomes the ordinarysoliton solution.