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运动磁单极子的规范势

石康杰

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运动磁单极子的规范势

石康杰

THE GAUGE POTENTIAL OF MOVING MONOPOLE

SHI KANG-JIE
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  • 本文利用诱导SU(2)规范势Aμ=?μn×n的一些性质,从磁单极子的辐射电磁场强的已知表达式出发,构造出一个n场,使得由它得到的诱导势经约化之后得到的U(1)场强与磁单极子的辐射电磁场强一致。n得到之后,就得到SU(2)规范势,再经约化,就得到相等价的U(1)势,既然它的场强与磁单极子场强一致,它的U(1)势就是磁单极子的U(1)势,这个U(1)势是有奇异的(奇异弦),可以用分区表示的方法来避免它,当粒子静止时,这个势的结果与著名的吴-杨势一致。
    If SU(2) potential Aμ, with Dμφ=?μφ+ Aμ×φ, can be expressed by n(xμ) with n ·n = 1 as Aμ= ?μn×n, we call it "deduced potential". Because Dμn = 0, it can be transformed into Abellian. Then, we find equivalent U/(l) potential and strength of field Fμv = Fμv ·n. This kind of Fμv (namely Ei and Bi) has the same specific properties and relations between E, B and n. Using this properties and relations, from the known strength of electric and magnetic field of monopole, we can construct a n = n(xμ) with n·n = 1. Then obtain the potential Aμ and its equivalent U(1) potential Cμ. In this way, we find a definite expression of potential for a moving monopole just like the Lienard-Wiechert potential for a moving charged particle. When monopole is at rest, the potential reduces to the famous Wu-Yang potential.
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  • 文章访问数:  6312
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出版历程
  • 收稿日期:  1982-09-09
  • 刊出日期:  2005-07-21

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