d=2+1中任意子和夸克的自旋统计定理
The Spin-Statistics Theorem for Anyons and Plektons in d=2+1
摘要:
证明了三维Minkowski空间中服从辫群统计的大质量粒子的自旋统计定理。我们从局域相对论量子理论的第一性原理出发。唯一的假设是在相应的带电扇区的质谱中有一个间隙,以及对相应质量简并度的限制。
英文摘要:
We prove the spin-statistics theorem for massive particles obeying braid group statistics in three-dimensional Minkowski space. We start from first principles of local relativistic quantum theory. The only assumption is a gap in the mass spectrum of the corresponding charged sector, and a restriction on the degeneracy of the corresponding mass.
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