单极子-费米子模型中的转子修饰半子态
A Rotor-Dressed Semiton State in a Monopole--Fermion Model
AI总结：
本文在单极子-费米子模型中，通过玻色化费米子-转子模型构造出半子态，为单极子-费米子散射的可变福克空间解释提供了具体希尔伯特空间实现。
AI中文摘要：
在四味无质量量子电动力学（QED）与磁单极子的组合体系中，单个入射费米子会被散射为在每个味道携带半整数电流矢量的态，该态被称为半子（semiton）。近期，半子被解释为扭曲区费米子，但其微观希尔伯特空间表示尚未完全建立。本文中，我们利用玻色化费米子-转子模型明确构造了半子态：首先确定系统的正确真空，再构造一个幺正算符，该算符可移动转子并在每个味道产生粒子-空穴云，将该算符作用于普通费米子态即可得到半子态。所得态在核心区域具有局域化的费米子味密度，在波包处存在半整数半子前沿；我们还证明该态携带正确的U(1)_M电荷期望值和能量密度分布。我们的结果为作者及合作者前期工作中提出的单极子-费米子散射的可变福克空间解释提供了具体的希尔伯特空间实现。
英文摘要：
In four-flavor massless QED with a magnetic monopole, a single incident fermion is scattered into a state carrying a half-integral current vector in each flavor channel, called the semiton. Recently, the semiton has been interpreted as a twisted-sector fermion, but its microscopic Hilbert-space representation has not been fully developed. In this Letter, using a bosonized fermion--rotor model, we construct the semiton state explicitly. This is achieved by first identifying the correct vacuum of the system, and then constructing a unitary operator that shifts the rotor and creates a particle-hole cloud in each flavor channel. The semiton state is obtained by applying this operator to an ordinary fermion state. The resulting state has a localized fermion flavor density in the core region and a half-integral semiton front at the wavepacket. We also show that the state carries the correct $U(1)_M$ charge expectation values and energy-density profile. Our result provides a concrete Hilbert-space realization of the varying-Fock-space interpretation of monopole--fermion scattering, advocated in previous works by the author and collaborators.
