玻色子场的玻色化与玻色子场的费米子化
Bosonization of Fermionic Fields and Fermionization of Bosonic Fields
摘要：
本文利用Clifford和spin-Clifford丛的形式主义，说明了在spin-Clifford丛中形成的Weyl和Dirac方程可以写成与在Clifford丛中形成的广义Maxwell型等价的形式。此外，我们表明如何麦克斯韦方程制定的Clifford束形式主义可以写为一个旋量场的自旋Cillford束的等价方程。研究这种等价的细节，这个练习明确地表明，费米子场等价于（在精确意义上）定义良好的玻色子场的等价类，玻色子场等价于定义良好的费米子场的等价类。
英文摘要：
In this paper using the Clifford and spin-Clifford bundles formalism we show how Weyl and Dirac equations formulated in the spin-Clifford bundle may be written in an equivalent form as generalized Maxwell like form formulated in the Clifford bundle. Moreover, we show how Maxwell equation formulated in the Clifford bundle formalism can be written as an equivalent equation for a spinor field in the spin-Cillford bundle. Investigating the details of such equivalences this exercise shows explicitly that a fermionic field is equivalent (in a precise sense) to an equivalence class of well defined boson fields and that a bosonic field is equivalent to a well defined equivalence class of fermionic fields These equivalences may be called the bosonization of fermionic fields and the fermionization of bosonic fields.
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