单极子-费米子散射与半子/幺正性谜题的解
Monopole-Fermion Scattering and the Solution to the Semiton/Unitarity Puzzle
AI总结:
该研究以Polchinski的“费米子-转子系统”为模型,通过直接计算揭示零规范耦合下带电Weyl费米子与磁单极子核散射的半子过程实为自由传播,解决了半子/幺正性谜题,且不改变非半子的Callan-Rubakov过程。
摘要:
我们研究Polchinski的“费米子-转子系统”,它是零规范耦合极限下带电Weyl费米子在磁单极子核上散射的准确描述。传统观点认为这种散射会导致分数粒子数(“半子”)。通过直接计算,我们表明这些半子过程实际上是自由传播,由复合费米子-转子算符促成,这些算符插值“禁戒”态,在每个最低分波中有效“恢复”入射态和出射态。非半子的Callan-Rubakov过程保持不变。
英文摘要:
We study Polchinski's "fermion-rotor system" as an accurate description of charged Weyl fermions scattering on a magnetic monopole core in the limit of zero gauge coupling. Traditionally it was thought such scattering could lead to fractional particle numbers ("semitons"). By direct calculations we show those semitonic processes are in fact free propagation, facilitated by composite fermion-rotor operators interpolating the "forbidden" states, effectively "recovering" both ingoing and outgoing states in every lowest partial wave. Non-semitonic Callan-Rubakov processes are unchanged.
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