Noncommutative Field Theory from twisted Fock space

Noncommutative Field Theory from twisted Fock space
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扭曲福克空间的非交换场论

DOI:
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发表时间:
2006
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通讯作者:
J. Yee
J. Yee
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作者:
Jong;Hyeong;Youngone Lee;Chang Hyon Vac;J. Yee

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通过对可换时空中相应的量子场论的量子算符(特别是产生算符和湮灭算符)代数的扭曲,构造了非对易时空中的量子场论.构造了与该代数一致的扭曲Fock空间和S-矩阵。所得的S-矩阵与Filk [Tomas Filk,Phys. Lett. B 376,53(1996)。从这个公式中我们发现,在正则非对易场论中,自旋统计关系是不被违反的。
We construct a quantum field theory in noncommutative space time by twisting the algebra of quantum operators (especially, creation and annihilation operators) of the corresponding quantum field theory in commutative space time. The twisted Fock space and S-matrix consistent with this algebra have been constructed. The resultant S-matrix is consistent with that of Filk [Tomas Filk, Phys. Lett. B 376, 53 (1996).]. We find from this formulation that the spin-statistics relation is not violated in the canonical noncommutative field theories.