BOSE CONDENSATION OF SU(2) HIGGS FIELDS AND THE ELECTRON MASS IN WEINBERG-SALAM MODEL

  • The concept of Bose Condensation of Higgs fields is applied to SU(2) Higgs φ4 model. It is proved that under the selfinteractions between Higgs fields, when the sum of condensation densities of charged complex fields and neutral complex fieldsremains fixed, the vaccum energies of symmetrical and asymmetrical condensations are equal to each other whereas the elementary excitation spectra all include three Goldstone particles and a particle with mass 2m. Then by introducing a coupling between massless electron and neutral Higgs field, we derive an expression of electron mass which coincides with that in Weinberg-Salam model.
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  • [1] 倪光炯、苏汝铿,科学通报.1980年第1期第9页.[2] S. Weinberg, Phys. Rev. Lett., 19(1967), 1264;A. Salam, In Elementary Particle Theory, edited by N. Svartholm (Almgviet and Wiksell, 1968).[3] 博戈留玻夫,《量子统计学》杨聚译,科学出版社.[4] 倪光炯、苏汝铿,科学通报,1980年数理化专辑第169页.
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NI GUANG-JIONG, SU RU-KENG and CHEN SU-QING. BOSE CONDENSATION OF SU(2) HIGGS FIELDS AND THE ELECTRON MASS IN WEINBERG-SALAM MODEL[J]. Chinese Physics C, 1981, 5(4): 429-440.
NI GUANG-JIONG, SU RU-KENG and CHEN SU-QING. BOSE CONDENSATION OF SU(2) HIGGS FIELDS AND THE ELECTRON MASS IN WEINBERG-SALAM MODEL[J]. Chinese Physics C, 1981, 5(4): 429-440. shu
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Received: 1979-10-05
Revised: 1900-01-01
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BOSE CONDENSATION OF SU(2) HIGGS FIELDS AND THE ELECTRON MASS IN WEINBERG-SALAM MODEL

Abstract: The concept of Bose Condensation of Higgs fields is applied to SU(2) Higgs φ4 model. It is proved that under the selfinteractions between Higgs fields, when the sum of condensation densities of charged complex fields and neutral complex fieldsremains fixed, the vaccum energies of symmetrical and asymmetrical condensations are equal to each other whereas the elementary excitation spectra all include three Goldstone particles and a particle with mass 2m. Then by introducing a coupling between massless electron and neutral Higgs field, we derive an expression of electron mass which coincides with that in Weinberg-Salam model.

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